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Finding the Fourth Proportional to 2,463.43, 3,694.36 and 819.54

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Solution

The fourth proportional to 2,463.43, 3,694.36 and 819.54 is: 1,229.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.43 : 3,694.36 = 819.54 : x
  2. Step 2: Convert to fraction form
    2,463.43/3,694.36 = 819.54/x
  3. Step 3: Cross multiply
    2,463.43x = 3,694.36 × 819.54
  4. Step 4: Simplify right side
    2,463.43x = 3,027,675.79
  5. Step 5: Solve for x
    x = 3,027,675.79/2,463.43
  6. Step 6: Final answer
    x = 1,229.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.