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Finding the Fourth Proportional to 2,463.41, 3,694.22 and 819.51

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Solution

The fourth proportional to 2,463.41, 3,694.22 and 819.51 is: 1,228.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.41 : 3,694.22 = 819.51 : x
  2. Step 2: Convert to fraction form
    2,463.41/3,694.22 = 819.51/x
  3. Step 3: Cross multiply
    2,463.41x = 3,694.22 × 819.51
  4. Step 4: Simplify right side
    2,463.41x = 3,027,452.28
  5. Step 5: Solve for x
    x = 3,027,452.28/2,463.41
  6. Step 6: Final answer
    x = 1,228.97

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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.