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Finding the Fourth Proportional to 2,046.20, 3,067.24 and 812.37

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Solution

The fourth proportional to 2,046.20, 3,067.24 and 812.37 is: 1,217.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.20 : 3,067.24 = 812.37 : x
  2. Step 2: Convert to fraction form
    2,046.20/3,067.24 = 812.37/x
  3. Step 3: Cross multiply
    2,046.20x = 3,067.24 × 812.37
  4. Step 4: Simplify right side
    2,046.20x = 2,491,733.76
  5. Step 5: Solve for x
    x = 2,491,733.76/2,046.20
  6. Step 6: Final answer
    x = 1,217.74

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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.