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Finding the Fourth Proportional to 2,523.06, 3,785.20 and 791.69

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Solution

The fourth proportional to 2,523.06, 3,785.20 and 791.69 is: 1,187.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.06 : 3,785.20 = 791.69 : x
  2. Step 2: Convert to fraction form
    2,523.06/3,785.20 = 791.69/x
  3. Step 3: Cross multiply
    2,523.06x = 3,785.20 × 791.69
  4. Step 4: Simplify right side
    2,523.06x = 2,996,704.99
  5. Step 5: Solve for x
    x = 2,996,704.99/2,523.06
  6. Step 6: Final answer
    x = 1,187.73

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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.