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Finding the Fourth Proportional to 2,033.26, 3,049.62 and 863.73

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Solution

The fourth proportional to 2,033.26, 3,049.62 and 863.73 is: 1,295.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.26 : 3,049.62 = 863.73 : x
  2. Step 2: Convert to fraction form
    2,033.26/3,049.62 = 863.73/x
  3. Step 3: Cross multiply
    2,033.26x = 3,049.62 × 863.73
  4. Step 4: Simplify right side
    2,033.26x = 2,634,048.28
  5. Step 5: Solve for x
    x = 2,634,048.28/2,033.26
  6. Step 6: Final answer
    x = 1,295.48

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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.