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Finding the Fourth Proportional to 2,712.85, 4,069.27 and 864.53

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Solution

The fourth proportional to 2,712.85, 4,069.27 and 864.53 is: 1,296.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.85 : 4,069.27 = 864.53 : x
  2. Step 2: Convert to fraction form
    2,712.85/4,069.27 = 864.53/x
  3. Step 3: Cross multiply
    2,712.85x = 4,069.27 × 864.53
  4. Step 4: Simplify right side
    2,712.85x = 3,518,001.99
  5. Step 5: Solve for x
    x = 3,518,001.99/2,712.85
  6. Step 6: Final answer
    x = 1,296.79

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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.