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Finding the Fourth Proportional to 2,163.06, 3,244.32 and 865.44

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Solution

The fourth proportional to 2,163.06, 3,244.32 and 865.44 is: 1,298.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.06 : 3,244.32 = 865.44 : x
  2. Step 2: Convert to fraction form
    2,163.06/3,244.32 = 865.44/x
  3. Step 3: Cross multiply
    2,163.06x = 3,244.32 × 865.44
  4. Step 4: Simplify right side
    2,163.06x = 2,807,764.30
  5. Step 5: Solve for x
    x = 2,807,764.30/2,163.06
  6. Step 6: Final answer
    x = 1,298.05

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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.