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Finding the Fourth Proportional to 2,747.08, 3,791.16 and 1,568.44

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Solution

The fourth proportional to 2,747.08, 3,791.16 and 1,568.44 is: 2,164.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.08 : 3,791.16 = 1,568.44 : x
  2. Step 2: Convert to fraction form
    2,747.08/3,791.16 = 1,568.44/x
  3. Step 3: Cross multiply
    2,747.08x = 3,791.16 × 1,568.44
  4. Step 4: Simplify right side
    2,747.08x = 5,946,206.99
  5. Step 5: Solve for x
    x = 5,946,206.99/2,747.08
  6. Step 6: Final answer
    x = 2,164.56

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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.