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Finding the Fourth Proportional to 2,141.93, 3,195.29 and 1,992.78

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Solution

The fourth proportional to 2,141.93, 3,195.29 and 1,992.78 is: 2,972.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.93 : 3,195.29 = 1,992.78 : x
  2. Step 2: Convert to fraction form
    2,141.93/3,195.29 = 1,992.78/x
  3. Step 3: Cross multiply
    2,141.93x = 3,195.29 × 1,992.78
  4. Step 4: Simplify right side
    2,141.93x = 6,367,500.04
  5. Step 5: Solve for x
    x = 6,367,500.04/2,141.93
  6. Step 6: Final answer
    x = 2,972.79

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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.