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Finding the Fourth Proportional to 2,664.24, 3,997.17 and 932.46

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Solution

The fourth proportional to 2,664.24, 3,997.17 and 932.46 is: 1,398.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,664.24 : 3,997.17 = 932.46 : x
  2. Step 2: Convert to fraction form
    2,664.24/3,997.17 = 932.46/x
  3. Step 3: Cross multiply
    2,664.24x = 3,997.17 × 932.46
  4. Step 4: Simplify right side
    2,664.24x = 3,727,201.14
  5. Step 5: Solve for x
    x = 3,727,201.14/2,664.24
  6. Step 6: Final answer
    x = 1,398.97

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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.