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Finding the Fourth Proportional to 2,424.62, 3,638.14 and 1,125.86

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Solution

The fourth proportional to 2,424.62, 3,638.14 and 1,125.86 is: 1,689.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.62 : 3,638.14 = 1,125.86 : x
  2. Step 2: Convert to fraction form
    2,424.62/3,638.14 = 1,125.86/x
  3. Step 3: Cross multiply
    2,424.62x = 3,638.14 × 1,125.86
  4. Step 4: Simplify right side
    2,424.62x = 4,096,036.30
  5. Step 5: Solve for x
    x = 4,096,036.30/2,424.62
  6. Step 6: Final answer
    x = 1,689.35

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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.