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Finding the Fourth Proportional to 2,398.48, 3,592.92 and 1,098.16

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Solution

The fourth proportional to 2,398.48, 3,592.92 and 1,098.16 is: 1,645.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.48 : 3,592.92 = 1,098.16 : x
  2. Step 2: Convert to fraction form
    2,398.48/3,592.92 = 1,098.16/x
  3. Step 3: Cross multiply
    2,398.48x = 3,592.92 × 1,098.16
  4. Step 4: Simplify right side
    2,398.48x = 3,945,601.03
  5. Step 5: Solve for x
    x = 3,945,601.03/2,398.48
  6. Step 6: Final answer
    x = 1,645.04

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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.