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Finding the Fourth Proportional to 2,811.91, 4,217.49 and 863.95

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Solution

The fourth proportional to 2,811.91, 4,217.49 and 863.95 is: 1,295.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.91 : 4,217.49 = 863.95 : x
  2. Step 2: Convert to fraction form
    2,811.91/4,217.49 = 863.95/x
  3. Step 3: Cross multiply
    2,811.91x = 4,217.49 × 863.95
  4. Step 4: Simplify right side
    2,811.91x = 3,643,700.49
  5. Step 5: Solve for x
    x = 3,643,700.49/2,811.91
  6. Step 6: Final answer
    x = 1,295.81

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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.