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Finding the Fourth Proportional to 1,807.31, 2,493.81 and 1,098.78

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Solution

The fourth proportional to 1,807.31, 2,493.81 and 1,098.78 is: 1,516.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.31 : 2,493.81 = 1,098.78 : x
  2. Step 2: Convert to fraction form
    1,807.31/2,493.81 = 1,098.78/x
  3. Step 3: Cross multiply
    1,807.31x = 2,493.81 × 1,098.78
  4. Step 4: Simplify right side
    1,807.31x = 2,740,148.55
  5. Step 5: Solve for x
    x = 2,740,148.55/1,807.31
  6. Step 6: Final answer
    x = 1,516.15

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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.