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Finding the Fourth Proportional to 2,163.24, 3,246.72 and 865.64

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Solution

The fourth proportional to 2,163.24, 3,246.72 and 865.64 is: 1,299.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.24 : 3,246.72 = 865.64 : x
  2. Step 2: Convert to fraction form
    2,163.24/3,246.72 = 865.64/x
  3. Step 3: Cross multiply
    2,163.24x = 3,246.72 × 865.64
  4. Step 4: Simplify right side
    2,163.24x = 2,810,490.70
  5. Step 5: Solve for x
    x = 2,810,490.70/2,163.24
  6. Step 6: Final answer
    x = 1,299.20

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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.