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Finding the Fourth Proportional to 2,486.64, 3,729.36 and 731.22

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Solution

The fourth proportional to 2,486.64, 3,729.36 and 731.22 is: 1,096.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.64 : 3,729.36 = 731.22 : x
  2. Step 2: Convert to fraction form
    2,486.64/3,729.36 = 731.22/x
  3. Step 3: Cross multiply
    2,486.64x = 3,729.36 × 731.22
  4. Step 4: Simplify right side
    2,486.64x = 2,726,982.62
  5. Step 5: Solve for x
    x = 2,726,982.62/2,486.64
  6. Step 6: Final answer
    x = 1,096.65

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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.