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Finding the Fourth Proportional to 2,546.86, 3,820.83 and 791.83

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Solution

The fourth proportional to 2,546.86, 3,820.83 and 791.83 is: 1,187.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.86 : 3,820.83 = 791.83 : x
  2. Step 2: Convert to fraction form
    2,546.86/3,820.83 = 791.83/x
  3. Step 3: Cross multiply
    2,546.86x = 3,820.83 × 791.83
  4. Step 4: Simplify right side
    2,546.86x = 3,025,433.70
  5. Step 5: Solve for x
    x = 3,025,433.70/2,546.86
  6. Step 6: Final answer
    x = 1,187.91

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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.