Home / 2,022.48-3,033.76-789.92

Finding the Fourth Proportional to 2,022.48, 3,033.76 and 789.92

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Solution

The fourth proportional to 2,022.48, 3,033.76 and 789.92 is: 1,184.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.48 : 3,033.76 = 789.92 : x
  2. Step 2: Convert to fraction form
    2,022.48/3,033.76 = 789.92/x
  3. Step 3: Cross multiply
    2,022.48x = 3,033.76 × 789.92
  4. Step 4: Simplify right side
    2,022.48x = 2,396,427.70
  5. Step 5: Solve for x
    x = 2,396,427.70/2,022.48
  6. Step 6: Final answer
    x = 1,184.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.