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Finding the Fourth Proportional to 2,180.11, 3,271.44 and 863.98

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Solution

The fourth proportional to 2,180.11, 3,271.44 and 863.98 is: 1,296.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.11 : 3,271.44 = 863.98 : x
  2. Step 2: Convert to fraction form
    2,180.11/3,271.44 = 863.98/x
  3. Step 3: Cross multiply
    2,180.11x = 3,271.44 × 863.98
  4. Step 4: Simplify right side
    2,180.11x = 2,826,458.73
  5. Step 5: Solve for x
    x = 2,826,458.73/2,180.11
  6. Step 6: Final answer
    x = 1,296.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.