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Finding the Fourth Proportional to 2,149.68, 3,224.28 and 610.68

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Solution

The fourth proportional to 2,149.68, 3,224.28 and 610.68 is: 915.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.68 : 3,224.28 = 610.68 : x
  2. Step 2: Convert to fraction form
    2,149.68/3,224.28 = 610.68/x
  3. Step 3: Cross multiply
    2,149.68x = 3,224.28 × 610.68
  4. Step 4: Simplify right side
    2,149.68x = 1,969,003.31
  5. Step 5: Solve for x
    x = 1,969,003.31/2,149.68
  6. Step 6: Final answer
    x = 915.95

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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.