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Finding the Fourth Proportional to 2,747.64, 3,791.84 and 1,568.69

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Solution

The fourth proportional to 2,747.64, 3,791.84 and 1,568.69 is: 2,164.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.64 : 3,791.84 = 1,568.69 : x
  2. Step 2: Convert to fraction form
    2,747.64/3,791.84 = 1,568.69/x
  3. Step 3: Cross multiply
    2,747.64x = 3,791.84 × 1,568.69
  4. Step 4: Simplify right side
    2,747.64x = 5,948,221.49
  5. Step 5: Solve for x
    x = 5,948,221.49/2,747.64
  6. Step 6: Final answer
    x = 2,164.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.