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Finding the Fourth Proportional to 1,844.31, 2,545.50 and 1,098.71

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Solution

The fourth proportional to 1,844.31, 2,545.50 and 1,098.71 is: 1,516.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,844.31 : 2,545.50 = 1,098.71 : x
  2. Step 2: Convert to fraction form
    1,844.31/2,545.50 = 1,098.71/x
  3. Step 3: Cross multiply
    1,844.31x = 2,545.50 × 1,098.71
  4. Step 4: Simplify right side
    1,844.31x = 2,796,753.58
  5. Step 5: Solve for x
    x = 2,796,753.58/1,844.31
  6. Step 6: Final answer
    x = 1,516.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.