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Finding the Fourth Proportional to 2,243.74, 3,367.29 and 1,149.02

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Solution

The fourth proportional to 2,243.74, 3,367.29 and 1,149.02 is: 1,724.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243.74 : 3,367.29 = 1,149.02 : x
  2. Step 2: Convert to fraction form
    2,243.74/3,367.29 = 1,149.02/x
  3. Step 3: Cross multiply
    2,243.74x = 3,367.29 × 1,149.02
  4. Step 4: Simplify right side
    2,243.74x = 3,869,083.56
  5. Step 5: Solve for x
    x = 3,869,083.56/2,243.74
  6. Step 6: Final answer
    x = 1,724.39

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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.