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Finding the Fourth Proportional to 2,489.14, 3,733.71 and 757.75

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Solution

The fourth proportional to 2,489.14, 3,733.71 and 757.75 is: 1,136.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.14 : 3,733.71 = 757.75 : x
  2. Step 2: Convert to fraction form
    2,489.14/3,733.71 = 757.75/x
  3. Step 3: Cross multiply
    2,489.14x = 3,733.71 × 757.75
  4. Step 4: Simplify right side
    2,489.14x = 2,829,218.75
  5. Step 5: Solve for x
    x = 2,829,218.75/2,489.14
  6. Step 6: Final answer
    x = 1,136.63

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1.5x scale

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.