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Finding the Fourth Proportional to 1,612.59, 2,414.78 and 1,063.11

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Solution

The fourth proportional to 1,612.59, 2,414.78 and 1,063.11 is: 1,591.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.59 : 2,414.78 = 1,063.11 : x
  2. Step 2: Convert to fraction form
    1,612.59/2,414.78 = 1,063.11/x
  3. Step 3: Cross multiply
    1,612.59x = 2,414.78 × 1,063.11
  4. Step 4: Simplify right side
    1,612.59x = 2,567,167.35
  5. Step 5: Solve for x
    x = 2,567,167.35/1,612.59
  6. Step 6: Final answer
    x = 1,591.95

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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.