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Finding the Fourth Proportional to 2,022.08, 3,031.77 and 789.61

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Solution

The fourth proportional to 2,022.08, 3,031.77 and 789.61 is: 1,183.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.08 : 3,031.77 = 789.61 : x
  2. Step 2: Convert to fraction form
    2,022.08/3,031.77 = 789.61/x
  3. Step 3: Cross multiply
    2,022.08x = 3,031.77 × 789.61
  4. Step 4: Simplify right side
    2,022.08x = 2,393,915.91
  5. Step 5: Solve for x
    x = 2,393,915.91/2,022.08
  6. Step 6: Final answer
    x = 1,183.89

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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.