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Finding the Fourth Proportional to 2,489.17, 3,734.36 and 757.80

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Solution

The fourth proportional to 2,489.17, 3,734.36 and 757.80 is: 1,136.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.17 : 3,734.36 = 757.80 : x
  2. Step 2: Convert to fraction form
    2,489.17/3,734.36 = 757.80/x
  3. Step 3: Cross multiply
    2,489.17x = 3,734.36 × 757.80
  4. Step 4: Simplify right side
    2,489.17x = 2,829,887.32
  5. Step 5: Solve for x
    x = 2,829,887.32/2,489.17
  6. Step 6: Final answer
    x = 1,136.88

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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.