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Finding the Fourth Proportional to 2,714.13, 4,069.97 and 864.90

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Solution

The fourth proportional to 2,714.13, 4,069.97 and 864.90 is: 1,296.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.13 : 4,069.97 = 864.90 : x
  2. Step 2: Convert to fraction form
    2,714.13/4,069.97 = 864.90/x
  3. Step 3: Cross multiply
    2,714.13x = 4,069.97 × 864.90
  4. Step 4: Simplify right side
    2,714.13x = 3,520,112.73
  5. Step 5: Solve for x
    x = 3,520,112.73/2,714.13
  6. Step 6: Final answer
    x = 1,296.96

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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.