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Finding the Fourth Proportional to 3,123.90, 4,685.12 and 932.44

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Solution

The fourth proportional to 3,123.90, 4,685.12 and 932.44 is: 1,398.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.90 : 4,685.12 = 932.44 : x
  2. Step 2: Convert to fraction form
    3,123.90/4,685.12 = 932.44/x
  3. Step 3: Cross multiply
    3,123.90x = 4,685.12 × 932.44
  4. Step 4: Simplify right side
    3,123.90x = 4,368,593.29
  5. Step 5: Solve for x
    x = 4,368,593.29/3,123.90
  6. Step 6: Final answer
    x = 1,398.44

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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.