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Finding the Fourth Proportional to 2,463.12, 3,694.84 and 819.60

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Solution

The fourth proportional to 2,463.12, 3,694.84 and 819.60 is: 1,229.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.12 : 3,694.84 = 819.60 : x
  2. Step 2: Convert to fraction form
    2,463.12/3,694.84 = 819.60/x
  3. Step 3: Cross multiply
    2,463.12x = 3,694.84 × 819.60
  4. Step 4: Simplify right side
    2,463.12x = 3,028,290.86
  5. Step 5: Solve for x
    x = 3,028,290.86/2,463.12
  6. Step 6: Final answer
    x = 1,229.45

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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.