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Finding the Fourth Proportional to 2,838.97, 4,257.28 and 863.97

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Solution

The fourth proportional to 2,838.97, 4,257.28 and 863.97 is: 1,295.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.97 : 4,257.28 = 863.97 : x
  2. Step 2: Convert to fraction form
    2,838.97/4,257.28 = 863.97/x
  3. Step 3: Cross multiply
    2,838.97x = 4,257.28 × 863.97
  4. Step 4: Simplify right side
    2,838.97x = 3,678,162.20
  5. Step 5: Solve for x
    x = 3,678,162.20/2,838.97
  6. Step 6: Final answer
    x = 1,295.60

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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.