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Finding the Fourth Proportional to 2,712.56, 4,068.50 and 863.69

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Solution

The fourth proportional to 2,712.56, 4,068.50 and 863.69 is: 1,295.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.56 : 4,068.50 = 863.69 : x
  2. Step 2: Convert to fraction form
    2,712.56/4,068.50 = 863.69/x
  3. Step 3: Cross multiply
    2,712.56x = 4,068.50 × 863.69
  4. Step 4: Simplify right side
    2,712.56x = 3,513,898.10
  5. Step 5: Solve for x
    x = 3,513,898.10/2,712.56
  6. Step 6: Final answer
    x = 1,295.42

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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.