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Finding the Fourth Proportional to 2,736.84, 4,105.32 and 789.24

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Solution

The fourth proportional to 2,736.84, 4,105.32 and 789.24 is: 1,183.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736.84 : 4,105.32 = 789.24 : x
  2. Step 2: Convert to fraction form
    2,736.84/4,105.32 = 789.24/x
  3. Step 3: Cross multiply
    2,736.84x = 4,105.32 × 789.24
  4. Step 4: Simplify right side
    2,736.84x = 3,240,082.76
  5. Step 5: Solve for x
    x = 3,240,082.76/2,736.84
  6. Step 6: Final answer
    x = 1,183.88

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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.