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Finding the Fourth Proportional to 2,863.41, 3,951.91 and 2,069.31

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Solution

The fourth proportional to 2,863.41, 3,951.91 and 2,069.31 is: 2,855.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.41 : 3,951.91 = 2,069.31 : x
  2. Step 2: Convert to fraction form
    2,863.41/3,951.91 = 2,069.31/x
  3. Step 3: Cross multiply
    2,863.41x = 3,951.91 × 2,069.31
  4. Step 4: Simplify right side
    2,863.41x = 8,177,726.88
  5. Step 5: Solve for x
    x = 8,177,726.88/2,863.41
  6. Step 6: Final answer
    x = 2,855.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.