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Finding the Fourth Proportional to 2,716.94, 4,076.07 and 769.09

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Solution

The fourth proportional to 2,716.94, 4,076.07 and 769.09 is: 1,153.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,716.94 : 4,076.07 = 769.09 : x
  2. Step 2: Convert to fraction form
    2,716.94/4,076.07 = 769.09/x
  3. Step 3: Cross multiply
    2,716.94x = 4,076.07 × 769.09
  4. Step 4: Simplify right side
    2,716.94x = 3,134,864.68
  5. Step 5: Solve for x
    x = 3,134,864.68/2,716.94
  6. Step 6: Final answer
    x = 1,153.82

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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.