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Finding the Fourth Proportional to 2,163.03, 3,244.85 and 864.20

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Solution

The fourth proportional to 2,163.03, 3,244.85 and 864.20 is: 1,296.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.03 : 3,244.85 = 864.20 : x
  2. Step 2: Convert to fraction form
    2,163.03/3,244.85 = 864.20/x
  3. Step 3: Cross multiply
    2,163.03x = 3,244.85 × 864.20
  4. Step 4: Simplify right side
    2,163.03x = 2,804,178.82
  5. Step 5: Solve for x
    x = 2,804,178.82/2,163.03
  6. Step 6: Final answer
    x = 1,296.41

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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.