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Finding the Fourth Proportional to 2,163.68, 3,237.92 and 1,614.48

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Solution

The fourth proportional to 2,163.68, 3,237.92 and 1,614.48 is: 2,416.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.68 : 3,237.92 = 1,614.48 : x
  2. Step 2: Convert to fraction form
    2,163.68/3,237.92 = 1,614.48/x
  3. Step 3: Cross multiply
    2,163.68x = 3,237.92 × 1,614.48
  4. Step 4: Simplify right side
    2,163.68x = 5,227,557.08
  5. Step 5: Solve for x
    x = 5,227,557.08/2,163.68
  6. Step 6: Final answer
    x = 2,416.05

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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.