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Finding the Fourth Proportional to 2,314.92, 3,472.65 and 754.53

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Solution

The fourth proportional to 2,314.92, 3,472.65 and 754.53 is: 1,131.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.92 : 3,472.65 = 754.53 : x
  2. Step 2: Convert to fraction form
    2,314.92/3,472.65 = 754.53/x
  3. Step 3: Cross multiply
    2,314.92x = 3,472.65 × 754.53
  4. Step 4: Simplify right side
    2,314.92x = 2,620,218.60
  5. Step 5: Solve for x
    x = 2,620,218.60/2,314.92
  6. Step 6: Final answer
    x = 1,131.88

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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.