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Finding the Fourth Proportional to 3,179.70, 4,768.17 and 2,449.80

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Solution

The fourth proportional to 3,179.70, 4,768.17 and 2,449.80 is: 3,673.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,179.70 : 4,768.17 = 2,449.80 : x
  2. Step 2: Convert to fraction form
    3,179.70/4,768.17 = 2,449.80/x
  3. Step 3: Cross multiply
    3,179.70x = 4,768.17 × 2,449.80
  4. Step 4: Simplify right side
    3,179.70x = 11,681,062.87
  5. Step 5: Solve for x
    x = 11,681,062.87/3,179.70
  6. Step 6: Final answer
    x = 3,673.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.