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Finding the Fourth Proportional to 2,163.41, 3,245.11 and 1,432.81

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Solution

The fourth proportional to 2,163.41, 3,245.11 and 1,432.81 is: 2,149.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.41 : 3,245.11 = 1,432.81 : x
  2. Step 2: Convert to fraction form
    2,163.41/3,245.11 = 1,432.81/x
  3. Step 3: Cross multiply
    2,163.41x = 3,245.11 × 1,432.81
  4. Step 4: Simplify right side
    2,163.41x = 4,649,626.06
  5. Step 5: Solve for x
    x = 4,649,626.06/2,163.41
  6. Step 6: Final answer
    x = 2,149.21

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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.