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Finding the Fourth Proportional to 2,729.32, 4,093.58 and 754.96

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Solution

The fourth proportional to 2,729.32, 4,093.58 and 754.96 is: 1,132.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.32 : 4,093.58 = 754.96 : x
  2. Step 2: Convert to fraction form
    2,729.32/4,093.58 = 754.96/x
  3. Step 3: Cross multiply
    2,729.32x = 4,093.58 × 754.96
  4. Step 4: Simplify right side
    2,729.32x = 3,090,489.16
  5. Step 5: Solve for x
    x = 3,090,489.16/2,729.32
  6. Step 6: Final answer
    x = 1,132.33

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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.