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Finding the Fourth Proportional to 2,424.47, 3,642.17 and 2,096.42

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Solution

The fourth proportional to 2,424.47, 3,642.17 and 2,096.42 is: 3,149.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.47 : 3,642.17 = 2,096.42 : x
  2. Step 2: Convert to fraction form
    2,424.47/3,642.17 = 2,096.42/x
  3. Step 3: Cross multiply
    2,424.47x = 3,642.17 × 2,096.42
  4. Step 4: Simplify right side
    2,424.47x = 7,635,489.34
  5. Step 5: Solve for x
    x = 7,635,489.34/2,424.47
  6. Step 6: Final answer
    x = 3,149.35

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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.