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Finding the Fourth Proportional to 2,022.72, 3,033.25 and 789.95

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Solution

The fourth proportional to 2,022.72, 3,033.25 and 789.95 is: 1,184.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.72 : 3,033.25 = 789.95 : x
  2. Step 2: Convert to fraction form
    2,022.72/3,033.25 = 789.95/x
  3. Step 3: Cross multiply
    2,022.72x = 3,033.25 × 789.95
  4. Step 4: Simplify right side
    2,022.72x = 2,396,121.45
  5. Step 5: Solve for x
    x = 2,396,121.45/2,022.72
  6. Step 6: Final answer
    x = 1,184.60

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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.