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Finding the Fourth Proportional to 2,149.47, 3,224.61 and 688.50

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Solution

The fourth proportional to 2,149.47, 3,224.61 and 688.50 is: 1,032.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.47 : 3,224.61 = 688.50 : x
  2. Step 2: Convert to fraction form
    2,149.47/3,224.61 = 688.50/x
  3. Step 3: Cross multiply
    2,149.47x = 3,224.61 × 688.50
  4. Step 4: Simplify right side
    2,149.47x = 2,220,143.99
  5. Step 5: Solve for x
    x = 2,220,143.99/2,149.47
  6. Step 6: Final answer
    x = 1,032.88

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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.