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Finding the Fourth Proportional to 1,550.24, 2,324.88 and 1,448

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Solution

The fourth proportional to 1,550.24, 2,324.88 and 1,448 is: 2,171.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550.24 : 2,324.88 = 1,448 : x
  2. Step 2: Convert to fraction form
    1,550.24/2,324.88 = 1,448/x
  3. Step 3: Cross multiply
    1,550.24x = 2,324.88 × 1,448
  4. Step 4: Simplify right side
    1,550.24x = 3,366,426.24
  5. Step 5: Solve for x
    x = 3,366,426.24/1,550.24
  6. Step 6: Final answer
    x = 2,171.55

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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.