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Finding the Fourth Proportional to 2,712.80, 4,069.23 and 863.90

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Solution

The fourth proportional to 2,712.80, 4,069.23 and 863.90 is: 1,295.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.80 : 4,069.23 = 863.90 : x
  2. Step 2: Convert to fraction form
    2,712.80/4,069.23 = 863.90/x
  3. Step 3: Cross multiply
    2,712.80x = 4,069.23 × 863.90
  4. Step 4: Simplify right side
    2,712.80x = 3,515,403.48
  5. Step 5: Solve for x
    x = 3,515,403.48/2,712.80
  6. Step 6: Final answer
    x = 1,295.86

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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.