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Finding the Fourth Proportional to 1,744.73, 2,617.49 and 1,251.33

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Solution

The fourth proportional to 1,744.73, 2,617.49 and 1,251.33 is: 1,877.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.73 : 2,617.49 = 1,251.33 : x
  2. Step 2: Convert to fraction form
    1,744.73/2,617.49 = 1,251.33/x
  3. Step 3: Cross multiply
    1,744.73x = 2,617.49 × 1,251.33
  4. Step 4: Simplify right side
    1,744.73x = 3,275,337.51
  5. Step 5: Solve for x
    x = 3,275,337.51/1,744.73
  6. Step 6: Final answer
    x = 1,877.28

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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.