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Finding the Fourth Proportional to 2,462.59, 3,694.43 and 819.37

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Solution

The fourth proportional to 2,462.59, 3,694.43 and 819.37 is: 1,229.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.59 : 3,694.43 = 819.37 : x
  2. Step 2: Convert to fraction form
    2,462.59/3,694.43 = 819.37/x
  3. Step 3: Cross multiply
    2,462.59x = 3,694.43 × 819.37
  4. Step 4: Simplify right side
    2,462.59x = 3,027,105.11
  5. Step 5: Solve for x
    x = 3,027,105.11/2,462.59
  6. Step 6: Final answer
    x = 1,229.24

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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.