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Finding the Fourth Proportional to 2,046.39, 3,069.92 and 813.81

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Solution

The fourth proportional to 2,046.39, 3,069.92 and 813.81 is: 1,220.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.39 : 3,069.92 = 813.81 : x
  2. Step 2: Convert to fraction form
    2,046.39/3,069.92 = 813.81/x
  3. Step 3: Cross multiply
    2,046.39x = 3,069.92 × 813.81
  4. Step 4: Simplify right side
    2,046.39x = 2,498,327.53
  5. Step 5: Solve for x
    x = 2,498,327.53/2,046.39
  6. Step 6: Final answer
    x = 1,220.85

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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.