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Finding the Fourth Proportional to 2,149.17, 3,223.54 and 687.93

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Solution

The fourth proportional to 2,149.17, 3,223.54 and 687.93 is: 1,031.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.17 : 3,223.54 = 687.93 : x
  2. Step 2: Convert to fraction form
    2,149.17/3,223.54 = 687.93/x
  3. Step 3: Cross multiply
    2,149.17x = 3,223.54 × 687.93
  4. Step 4: Simplify right side
    2,149.17x = 2,217,569.87
  5. Step 5: Solve for x
    x = 2,217,569.87/2,149.17
  6. Step 6: Final answer
    x = 1,031.83

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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.