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Finding the Fourth Proportional to 2,251.49, 3,377.19 and 1,155.22

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Solution

The fourth proportional to 2,251.49, 3,377.19 and 1,155.22 is: 1,732.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251.49 : 3,377.19 = 1,155.22 : x
  2. Step 2: Convert to fraction form
    2,251.49/3,377.19 = 1,155.22/x
  3. Step 3: Cross multiply
    2,251.49x = 3,377.19 × 1,155.22
  4. Step 4: Simplify right side
    2,251.49x = 3,901,393.32
  5. Step 5: Solve for x
    x = 3,901,393.32/2,251.49
  6. Step 6: Final answer
    x = 1,732.81

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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.