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Finding the Fourth Proportional to 2,863.50, 3,953.25 and 2,163.66

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Solution

The fourth proportional to 2,863.50, 3,953.25 and 2,163.66 is: 2,987.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.50 : 3,953.25 = 2,163.66 : x
  2. Step 2: Convert to fraction form
    2,863.50/3,953.25 = 2,163.66/x
  3. Step 3: Cross multiply
    2,863.50x = 3,953.25 × 2,163.66
  4. Step 4: Simplify right side
    2,863.50x = 8,553,488.90
  5. Step 5: Solve for x
    x = 8,553,488.90/2,863.50
  6. Step 6: Final answer
    x = 2,987.07

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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.