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Finding the Fourth Proportional to 2,022.09, 3,032.49 and 789.20

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Solution

The fourth proportional to 2,022.09, 3,032.49 and 789.20 is: 1,183.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.09 : 3,032.49 = 789.20 : x
  2. Step 2: Convert to fraction form
    2,022.09/3,032.49 = 789.20/x
  3. Step 3: Cross multiply
    2,022.09x = 3,032.49 × 789.20
  4. Step 4: Simplify right side
    2,022.09x = 2,393,241.11
  5. Step 5: Solve for x
    x = 2,393,241.11/2,022.09
  6. Step 6: Final answer
    x = 1,183.55

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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.