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Finding the Fourth Proportional to 3,027.26, 4,540.82 and 805.97

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Solution

The fourth proportional to 3,027.26, 4,540.82 and 805.97 is: 1,208.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027.26 : 4,540.82 = 805.97 : x
  2. Step 2: Convert to fraction form
    3,027.26/4,540.82 = 805.97/x
  3. Step 3: Cross multiply
    3,027.26x = 4,540.82 × 805.97
  4. Step 4: Simplify right side
    3,027.26x = 3,659,737.96
  5. Step 5: Solve for x
    x = 3,659,737.96/3,027.26
  6. Step 6: Final answer
    x = 1,208.93

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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.