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Finding the Fourth Proportional to 2,729.66, 4,094.49 and 781.87

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Solution

The fourth proportional to 2,729.66, 4,094.49 and 781.87 is: 1,172.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.66 : 4,094.49 = 781.87 : x
  2. Step 2: Convert to fraction form
    2,729.66/4,094.49 = 781.87/x
  3. Step 3: Cross multiply
    2,729.66x = 4,094.49 × 781.87
  4. Step 4: Simplify right side
    2,729.66x = 3,201,358.90
  5. Step 5: Solve for x
    x = 3,201,358.90/2,729.66
  6. Step 6: Final answer
    x = 1,172.81

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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.