McGraw Hill Integrated II, 2012
MH
McGraw Hill Integrated II, 2012 View details
1. Ratios and Proportions
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Exercise 47 Page 548

Multiply the left-hand side of each proportion by a factor such that you get the fraction on the right-hand side. Compare the factors.

Proportion: 23 = 57.5
Explanation: See solution.

Practice makes perfect

We are given the following four proportions.

Proportion 1 Proportion 2 Proportion 3 Proportion 4
3/8 = 8.4/22.4 2/3 = 5/7.5 5/6 = 14/16.8 7/9 = 19.6/25.2
Notice that to obtain 8.422.4 we must multiply 38 by 2.82.8.

2.8/2.8* 3/8 = 8.4/22.4 âś“ Next, let's multiply the left-hand side of each of the remaining proportions by 2.82.8 and compare the results to the corresponding right-hand sides. Proportion2: & 2.8/2.8* 2/3 = 5.6/8.4 * [0.2cm] Proportion3: & 2.8/2.8* 5/6 = 14/16.8 âś“ [0.2cm] Proportion4: & 2.8/2.8* 7/9 = 19.6/25.2 âś“ As we can see, there is a discrepancy in the second proportion since the result is not equal to 57.5. In fact, in this particular case, we have to multiply the left-hand side by 2.52.5 to obtain a true statement. Ratio2: & 2.5/2.5* 2/3 = 5/7.5 âś“ In conclusion, the proportion that does not belong with the other three is the second one. The other three proportions have the same factor.