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Finding the Fourth Proportional to 2,736.97, 4,106.12 and 789.16

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Solution

The fourth proportional to 2,736.97, 4,106.12 and 789.16 is: 1,183.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736.97 : 4,106.12 = 789.16 : x
  2. Step 2: Convert to fraction form
    2,736.97/4,106.12 = 789.16/x
  3. Step 3: Cross multiply
    2,736.97x = 4,106.12 × 789.16
  4. Step 4: Simplify right side
    2,736.97x = 3,240,385.66
  5. Step 5: Solve for x
    x = 3,240,385.66/2,736.97
  6. Step 6: Final answer
    x = 1,183.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.