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Finding the Fourth Proportional to 2,747.76, 3,791.90 and 1,488.78

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Solution

The fourth proportional to 2,747.76, 3,791.90 and 1,488.78 is: 2,054.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.76 : 3,791.90 = 1,488.78 : x
  2. Step 2: Convert to fraction form
    2,747.76/3,791.90 = 1,488.78/x
  3. Step 3: Cross multiply
    2,747.76x = 3,791.90 × 1,488.78
  4. Step 4: Simplify right side
    2,747.76x = 5,645,297.44
  5. Step 5: Solve for x
    x = 5,645,297.44/2,747.76
  6. Step 6: Final answer
    x = 2,054.51

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