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Finding the Fourth Proportional to 2,575.26, 3,864.96 and 932.97

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Solution

The fourth proportional to 2,575.26, 3,864.96 and 932.97 is: 1,400.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.26 : 3,864.96 = 932.97 : x
  2. Step 2: Convert to fraction form
    2,575.26/3,864.96 = 932.97/x
  3. Step 3: Cross multiply
    2,575.26x = 3,864.96 × 932.97
  4. Step 4: Simplify right side
    2,575.26x = 3,605,891.73
  5. Step 5: Solve for x
    x = 3,605,891.73/2,575.26
  6. Step 6: Final answer
    x = 1,400.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.