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Finding the Fourth Proportional to 2,736.81, 4,105.41 and 789.18

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Solution

The fourth proportional to 2,736.81, 4,105.41 and 789.18 is: 1,183.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736.81 : 4,105.41 = 789.18 : x
  2. Step 2: Convert to fraction form
    2,736.81/4,105.41 = 789.18/x
  3. Step 3: Cross multiply
    2,736.81x = 4,105.41 × 789.18
  4. Step 4: Simplify right side
    2,736.81x = 3,239,907.46
  5. Step 5: Solve for x
    x = 3,239,907.46/2,736.81
  6. Step 6: Final answer
    x = 1,183.83

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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.