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Finding the Fourth Proportional to 2,489.34, 3,734.22 and 757.97

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Solution

The fourth proportional to 2,489.34, 3,734.22 and 757.97 is: 1,137.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.34 : 3,734.22 = 757.97 : x
  2. Step 2: Convert to fraction form
    2,489.34/3,734.22 = 757.97/x
  3. Step 3: Cross multiply
    2,489.34x = 3,734.22 × 757.97
  4. Step 4: Simplify right side
    2,489.34x = 2,830,426.73
  5. Step 5: Solve for x
    x = 2,830,426.73/2,489.34
  6. Step 6: Final answer
    x = 1,137.02

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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.