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Finding the Fourth Proportional to 2,486.13, 3,729.09 and 731.06

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Solution

The fourth proportional to 2,486.13, 3,729.09 and 731.06 is: 1,096.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.13 : 3,729.09 = 731.06 : x
  2. Step 2: Convert to fraction form
    2,486.13/3,729.09 = 731.06/x
  3. Step 3: Cross multiply
    2,486.13x = 3,729.09 × 731.06
  4. Step 4: Simplify right side
    2,486.13x = 2,726,188.54
  5. Step 5: Solve for x
    x = 2,726,188.54/2,486.13
  6. Step 6: Final answer
    x = 1,096.56

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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.