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Finding the Fourth Proportional to 2,023.40, 3,033.85 and 789.37

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Solution

The fourth proportional to 2,023.40, 3,033.85 and 789.37 is: 1,183.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.40 : 3,033.85 = 789.37 : x
  2. Step 2: Convert to fraction form
    2,023.40/3,033.85 = 789.37/x
  3. Step 3: Cross multiply
    2,023.40x = 3,033.85 × 789.37
  4. Step 4: Simplify right side
    2,023.40x = 2,394,830.17
  5. Step 5: Solve for x
    x = 2,394,830.17/2,023.40
  6. Step 6: Final answer
    x = 1,183.57

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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.