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Finding the Fourth Proportional to 2,663.52, 3,997.06 and 932.15

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Solution

The fourth proportional to 2,663.52, 3,997.06 and 932.15 is: 1,398.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.52 : 3,997.06 = 932.15 : x
  2. Step 2: Convert to fraction form
    2,663.52/3,997.06 = 932.15/x
  3. Step 3: Cross multiply
    2,663.52x = 3,997.06 × 932.15
  4. Step 4: Simplify right side
    2,663.52x = 3,725,859.48
  5. Step 5: Solve for x
    x = 3,725,859.48/2,663.52
  6. Step 6: Final answer
    x = 1,398.85

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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.