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Finding the Fourth Proportional to 2,462.13, 3,689.10 and 2,024.73

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Solution

The fourth proportional to 2,462.13, 3,689.10 and 2,024.73 is: 3,033.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.13 : 3,689.10 = 2,024.73 : x
  2. Step 2: Convert to fraction form
    2,462.13/3,689.10 = 2,024.73/x
  3. Step 3: Cross multiply
    2,462.13x = 3,689.10 × 2,024.73
  4. Step 4: Simplify right side
    2,462.13x = 7,469,431.44
  5. Step 5: Solve for x
    x = 7,469,431.44/2,462.13
  6. Step 6: Final answer
    x = 3,033.73

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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.