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Finding the Fourth Proportional to 2,163.72, 3,248.46 and 1,463.28

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Solution

The fourth proportional to 2,163.72, 3,248.46 and 1,463.28 is: 2,196.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.72 : 3,248.46 = 1,463.28 : x
  2. Step 2: Convert to fraction form
    2,163.72/3,248.46 = 1,463.28/x
  3. Step 3: Cross multiply
    2,163.72x = 3,248.46 × 1,463.28
  4. Step 4: Simplify right side
    2,163.72x = 4,753,420.01
  5. Step 5: Solve for x
    x = 4,753,420.01/2,163.72
  6. Step 6: Final answer
    x = 2,196.87

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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.