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Finding the Fourth Proportional to 1,371.38, 2,057.15 and 550.19

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Solution

The fourth proportional to 1,371.38, 2,057.15 and 550.19 is: 825.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.38 : 2,057.15 = 550.19 : x
  2. Step 2: Convert to fraction form
    1,371.38/2,057.15 = 550.19/x
  3. Step 3: Cross multiply
    1,371.38x = 2,057.15 × 550.19
  4. Step 4: Simplify right side
    1,371.38x = 1,131,826.78
  5. Step 5: Solve for x
    x = 1,131,826.78/1,371.38
  6. Step 6: Final answer
    x = 825.32

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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.