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Finding the Fourth Proportional to 2,120.66, 3,163.10 and 1,998.73

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Solution

The fourth proportional to 2,120.66, 3,163.10 and 1,998.73 is: 2,981.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.66 : 3,163.10 = 1,998.73 : x
  2. Step 2: Convert to fraction form
    2,120.66/3,163.10 = 1,998.73/x
  3. Step 3: Cross multiply
    2,120.66x = 3,163.10 × 1,998.73
  4. Step 4: Simplify right side
    2,120.66x = 6,322,182.86
  5. Step 5: Solve for x
    x = 6,322,182.86/2,120.66
  6. Step 6: Final answer
    x = 2,981.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.