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Finding the Fourth Proportional to 2,398.10, 3,592.45 and 2,136.88

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Solution

The fourth proportional to 2,398.10, 3,592.45 and 2,136.88 is: 3,201.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.10 : 3,592.45 = 2,136.88 : x
  2. Step 2: Convert to fraction form
    2,398.10/3,592.45 = 2,136.88/x
  3. Step 3: Cross multiply
    2,398.10x = 3,592.45 × 2,136.88
  4. Step 4: Simplify right side
    2,398.10x = 7,676,614.89
  5. Step 5: Solve for x
    x = 7,676,614.89/2,398.10
  6. Step 6: Final answer
    x = 3,201.12

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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.