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Finding the Fourth Proportional to 2,104.82, 3,171.49 and 1,747.61

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Solution

The fourth proportional to 2,104.82, 3,171.49 and 1,747.61 is: 2,633.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.82 : 3,171.49 = 1,747.61 : x
  2. Step 2: Convert to fraction form
    2,104.82/3,171.49 = 1,747.61/x
  3. Step 3: Cross multiply
    2,104.82x = 3,171.49 × 1,747.61
  4. Step 4: Simplify right side
    2,104.82x = 5,542,527.64
  5. Step 5: Solve for x
    x = 5,542,527.64/2,104.82
  6. Step 6: Final answer
    x = 2,633.25

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.