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Finding the Fourth Proportional to 2,729.64, 4,093.52 and 781.32

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Solution

The fourth proportional to 2,729.64, 4,093.52 and 781.32 is: 1,171.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.64 : 4,093.52 = 781.32 : x
  2. Step 2: Convert to fraction form
    2,729.64/4,093.52 = 781.32/x
  3. Step 3: Cross multiply
    2,729.64x = 4,093.52 × 781.32
  4. Step 4: Simplify right side
    2,729.64x = 3,198,349.05
  5. Step 5: Solve for x
    x = 3,198,349.05/2,729.64
  6. Step 6: Final answer
    x = 1,171.71

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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.