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Finding the Fourth Proportional to 2,122.07, 3,183.27 and 661.22

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Solution

The fourth proportional to 2,122.07, 3,183.27 and 661.22 is: 991.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.07 : 3,183.27 = 661.22 : x
  2. Step 2: Convert to fraction form
    2,122.07/3,183.27 = 661.22/x
  3. Step 3: Cross multiply
    2,122.07x = 3,183.27 × 661.22
  4. Step 4: Simplify right side
    2,122.07x = 2,104,839.05
  5. Step 5: Solve for x
    x = 2,104,839.05/2,122.07
  6. Step 6: Final answer
    x = 991.88

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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.