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Finding the Fourth Proportional to 2,023.46, 3,034.04 and 789.44

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Solution

The fourth proportional to 2,023.46, 3,034.04 and 789.44 is: 1,183.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.46 : 3,034.04 = 789.44 : x
  2. Step 2: Convert to fraction form
    2,023.46/3,034.04 = 789.44/x
  3. Step 3: Cross multiply
    2,023.46x = 3,034.04 × 789.44
  4. Step 4: Simplify right side
    2,023.46x = 2,395,192.54
  5. Step 5: Solve for x
    x = 2,395,192.54/2,023.46
  6. Step 6: Final answer
    x = 1,183.71

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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.