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Finding the Fourth Proportional to 1,487.94, 2,227.28 and 1,098.38

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Solution

The fourth proportional to 1,487.94, 2,227.28 and 1,098.38 is: 1,644.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.94 : 2,227.28 = 1,098.38 : x
  2. Step 2: Convert to fraction form
    1,487.94/2,227.28 = 1,098.38/x
  3. Step 3: Cross multiply
    1,487.94x = 2,227.28 × 1,098.38
  4. Step 4: Simplify right side
    1,487.94x = 2,446,391.42
  5. Step 5: Solve for x
    x = 2,446,391.42/1,487.94
  6. Step 6: Final answer
    x = 1,644.15

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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.