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Finding the Fourth Proportional to 3,163.24, 4,363.14 and 1,983.88

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Solution

The fourth proportional to 3,163.24, 4,363.14 and 1,983.88 is: 2,736.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.24 : 4,363.14 = 1,983.88 : x
  2. Step 2: Convert to fraction form
    3,163.24/4,363.14 = 1,983.88/x
  3. Step 3: Cross multiply
    3,163.24x = 4,363.14 × 1,983.88
  4. Step 4: Simplify right side
    3,163.24x = 8,655,946.18
  5. Step 5: Solve for x
    x = 8,655,946.18/3,163.24
  6. Step 6: Final answer
    x = 2,736.42

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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.