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Finding the Fourth Proportional to 2,712.57, 4,069.47 and 863.79

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Solution

The fourth proportional to 2,712.57, 4,069.47 and 863.79 is: 1,295.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.57 : 4,069.47 = 863.79 : x
  2. Step 2: Convert to fraction form
    2,712.57/4,069.47 = 863.79/x
  3. Step 3: Cross multiply
    2,712.57x = 4,069.47 × 863.79
  4. Step 4: Simplify right side
    2,712.57x = 3,515,167.49
  5. Step 5: Solve for x
    x = 3,515,167.49/2,712.57
  6. Step 6: Final answer
    x = 1,295.88

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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.