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Finding the Fourth Proportional to 2,147.76, 3,221.84 and 686.57

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Solution

The fourth proportional to 2,147.76, 3,221.84 and 686.57 is: 1,029.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.76 : 3,221.84 = 686.57 : x
  2. Step 2: Convert to fraction form
    2,147.76/3,221.84 = 686.57/x
  3. Step 3: Cross multiply
    2,147.76x = 3,221.84 × 686.57
  4. Step 4: Simplify right side
    2,147.76x = 2,212,004.30
  5. Step 5: Solve for x
    x = 2,212,004.30/2,147.76
  6. Step 6: Final answer
    x = 1,029.91

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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.