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Finding the Fourth Proportional to 3,229.88, 4,843.56 and 1,380.02

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Solution

The fourth proportional to 3,229.88, 4,843.56 and 1,380.02 is: 2,069.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,229.88 : 4,843.56 = 1,380.02 : x
  2. Step 2: Convert to fraction form
    3,229.88/4,843.56 = 1,380.02/x
  3. Step 3: Cross multiply
    3,229.88x = 4,843.56 × 1,380.02
  4. Step 4: Simplify right side
    3,229.88x = 6,684,209.67
  5. Step 5: Solve for x
    x = 6,684,209.67/3,229.88
  6. Step 6: Final answer
    x = 2,069.49

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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.