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Finding the Fourth Proportional to 2,251.76, 3,107.39 and 1,257.15

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Solution

The fourth proportional to 2,251.76, 3,107.39 and 1,257.15 is: 1,734.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251.76 : 3,107.39 = 1,257.15 : x
  2. Step 2: Convert to fraction form
    2,251.76/3,107.39 = 1,257.15/x
  3. Step 3: Cross multiply
    2,251.76x = 3,107.39 × 1,257.15
  4. Step 4: Simplify right side
    2,251.76x = 3,906,449.05
  5. Step 5: Solve for x
    x = 3,906,449.05/2,251.76
  6. Step 6: Final answer
    x = 1,734.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.