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Finding the Fourth Proportional to 2,773.50, 4,163.10 and 2,163.87

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Solution

The fourth proportional to 2,773.50, 4,163.10 and 2,163.87 is: 3,248.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.50 : 4,163.10 = 2,163.87 : x
  2. Step 2: Convert to fraction form
    2,773.50/4,163.10 = 2,163.87/x
  3. Step 3: Cross multiply
    2,773.50x = 4,163.10 × 2,163.87
  4. Step 4: Simplify right side
    2,773.50x = 9,008,407.20
  5. Step 5: Solve for x
    x = 9,008,407.20/2,773.50
  6. Step 6: Final answer
    x = 3,248.03

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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.