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Finding the Fourth Proportional to 3,229.23, 4,844.19 and 1,149.42

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Solution

The fourth proportional to 3,229.23, 4,844.19 and 1,149.42 is: 1,724.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,229.23 : 4,844.19 = 1,149.42 : x
  2. Step 2: Convert to fraction form
    3,229.23/4,844.19 = 1,149.42/x
  3. Step 3: Cross multiply
    3,229.23x = 4,844.19 × 1,149.42
  4. Step 4: Simplify right side
    3,229.23x = 5,568,008.87
  5. Step 5: Solve for x
    x = 5,568,008.87/3,229.23
  6. Step 6: Final answer
    x = 1,724.25

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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.