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Finding the Fourth Proportional to 2,122.11, 3,183.21 and 661.23

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Solution

The fourth proportional to 2,122.11, 3,183.21 and 661.23 is: 991.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.11 : 3,183.21 = 661.23 : x
  2. Step 2: Convert to fraction form
    2,122.11/3,183.21 = 661.23/x
  3. Step 3: Cross multiply
    2,122.11x = 3,183.21 × 661.23
  4. Step 4: Simplify right side
    2,122.11x = 2,104,833.95
  5. Step 5: Solve for x
    x = 2,104,833.95/2,122.11
  6. Step 6: Final answer
    x = 991.86

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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.