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Finding the Fourth Proportional to 2,811.88, 4,217.66 and 863.84

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Solution

The fourth proportional to 2,811.88, 4,217.66 and 863.84 is: 1,295.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.88 : 4,217.66 = 863.84 : x
  2. Step 2: Convert to fraction form
    2,811.88/4,217.66 = 863.84/x
  3. Step 3: Cross multiply
    2,811.88x = 4,217.66 × 863.84
  4. Step 4: Simplify right side
    2,811.88x = 3,643,383.41
  5. Step 5: Solve for x
    x = 3,643,383.41/2,811.88
  6. Step 6: Final answer
    x = 1,295.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.