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Finding the Fourth Proportional to 2,463.98, 3,694.74 and 819.95

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Solution

The fourth proportional to 2,463.98, 3,694.74 and 819.95 is: 1,229.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.98 : 3,694.74 = 819.95 : x
  2. Step 2: Convert to fraction form
    2,463.98/3,694.74 = 819.95/x
  3. Step 3: Cross multiply
    2,463.98x = 3,694.74 × 819.95
  4. Step 4: Simplify right side
    2,463.98x = 3,029,502.06
  5. Step 5: Solve for x
    x = 3,029,502.06/2,463.98
  6. Step 6: Final answer
    x = 1,229.52

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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.