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Finding the Fourth Proportional to 3,127.76, 4,691.24 and 819.28

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Solution

The fourth proportional to 3,127.76, 4,691.24 and 819.28 is: 1,228.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,127.76 : 4,691.24 = 819.28 : x
  2. Step 2: Convert to fraction form
    3,127.76/4,691.24 = 819.28/x
  3. Step 3: Cross multiply
    3,127.76x = 4,691.24 × 819.28
  4. Step 4: Simplify right side
    3,127.76x = 3,843,439.11
  5. Step 5: Solve for x
    x = 3,843,439.11/3,127.76
  6. Step 6: Final answer
    x = 1,228.82

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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.