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Finding the Fourth Proportional to 2,729.31, 4,094.14 and 781.67

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Solution

The fourth proportional to 2,729.31, 4,094.14 and 781.67 is: 1,172.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.31 : 4,094.14 = 781.67 : x
  2. Step 2: Convert to fraction form
    2,729.31/4,094.14 = 781.67/x
  3. Step 3: Cross multiply
    2,729.31x = 4,094.14 × 781.67
  4. Step 4: Simplify right side
    2,729.31x = 3,200,266.41
  5. Step 5: Solve for x
    x = 3,200,266.41/2,729.31
  6. Step 6: Final answer
    x = 1,172.56

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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.