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Finding the Fourth Proportional to 1,992.30, 2,989.77 and 1,843.74

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Solution

The fourth proportional to 1,992.30, 2,989.77 and 1,843.74 is: 2,766.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.30 : 2,989.77 = 1,843.74 : x
  2. Step 2: Convert to fraction form
    1,992.30/2,989.77 = 1,843.74/x
  3. Step 3: Cross multiply
    1,992.30x = 2,989.77 × 1,843.74
  4. Step 4: Simplify right side
    1,992.30x = 5,512,358.54
  5. Step 5: Solve for x
    x = 5,512,358.54/1,992.30
  6. Step 6: Final answer
    x = 2,766.83

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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.