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Finding the Fourth Proportional to 2,650.44, 3,982.16 and 2,611.56

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Solution

The fourth proportional to 2,650.44, 3,982.16 and 2,611.56 is: 3,923.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.44 : 3,982.16 = 2,611.56 : x
  2. Step 2: Convert to fraction form
    2,650.44/3,982.16 = 2,611.56/x
  3. Step 3: Cross multiply
    2,650.44x = 3,982.16 × 2,611.56
  4. Step 4: Simplify right side
    2,650.44x = 10,399,649.77
  5. Step 5: Solve for x
    x = 10,399,649.77/2,650.44
  6. Step 6: Final answer
    x = 3,923.74

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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.