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Finding the Fourth Proportional to 1,531.72, 2,295.96 and 751.96

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Solution

The fourth proportional to 1,531.72, 2,295.96 and 751.96 is: 1,127.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.72 : 2,295.96 = 751.96 : x
  2. Step 2: Convert to fraction form
    1,531.72/2,295.96 = 751.96/x
  3. Step 3: Cross multiply
    1,531.72x = 2,295.96 × 751.96
  4. Step 4: Simplify right side
    1,531.72x = 1,726,470.08
  5. Step 5: Solve for x
    x = 1,726,470.08/1,531.72
  6. Step 6: Final answer
    x = 1,127.14

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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.