Finding the Fourth Proportional to 1,952.51, 2,928.76 and 491.77
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Solution
The fourth proportional to 1,952.51, 2,928.76 and 491.77 is: 737.66
Step by Step Solution
- Step 1: Write the proportion equation
1,952.51 : 2,928.76 = 491.77 : x - Step 2: Convert to fraction form
1,952.51/2,928.76 = 491.77/x - Step 3: Cross multiply
1,952.51x = 2,928.76 × 491.77 - Step 4: Simplify right side
1,952.51x = 1,440,278.74 - Step 5: Solve for x
x = 1,440,278.74/1,952.51 - Step 6: Final answer
x = 737.66
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.