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Finding the Fourth Proportional to 2,108.52, 3,163.46 and 1,012.97

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Solution

The fourth proportional to 2,108.52, 3,163.46 and 1,012.97 is: 1,519.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.52 : 3,163.46 = 1,012.97 : x
  2. Step 2: Convert to fraction form
    2,108.52/3,163.46 = 1,012.97/x
  3. Step 3: Cross multiply
    2,108.52x = 3,163.46 × 1,012.97
  4. Step 4: Simplify right side
    2,108.52x = 3,204,492.92
  5. Step 5: Solve for x
    x = 3,204,492.92/2,108.52
  6. Step 6: Final answer
    x = 1,519.78

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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.