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Finding the Fourth Proportional to 2,729.82, 4,094.02 and 781.57

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Solution

The fourth proportional to 2,729.82, 4,094.02 and 781.57 is: 1,172.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.82 : 4,094.02 = 781.57 : x
  2. Step 2: Convert to fraction form
    2,729.82/4,094.02 = 781.57/x
  3. Step 3: Cross multiply
    2,729.82x = 4,094.02 × 781.57
  4. Step 4: Simplify right side
    2,729.82x = 3,199,763.21
  5. Step 5: Solve for x
    x = 3,199,763.21/2,729.82
  6. Step 6: Final answer
    x = 1,172.15

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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.