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Finding the Fourth Proportional to 2,791.16, 3,856.71 and 2,198.44

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Solution

The fourth proportional to 2,791.16, 3,856.71 and 2,198.44 is: 3,037.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,791.16 : 3,856.71 = 2,198.44 : x
  2. Step 2: Convert to fraction form
    2,791.16/3,856.71 = 2,198.44/x
  3. Step 3: Cross multiply
    2,791.16x = 3,856.71 × 2,198.44
  4. Step 4: Simplify right side
    2,791.16x = 8,478,758.60
  5. Step 5: Solve for x
    x = 8,478,758.60/2,791.16
  6. Step 6: Final answer
    x = 3,037.72

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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.