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Finding the Fourth Proportional to 2,546.59, 3,819.07 and 791.52

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Solution

The fourth proportional to 2,546.59, 3,819.07 and 791.52 is: 1,187.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.59 : 3,819.07 = 791.52 : x
  2. Step 2: Convert to fraction form
    2,546.59/3,819.07 = 791.52/x
  3. Step 3: Cross multiply
    2,546.59x = 3,819.07 × 791.52
  4. Step 4: Simplify right side
    2,546.59x = 3,022,870.29
  5. Step 5: Solve for x
    x = 3,022,870.29/2,546.59
  6. Step 6: Final answer
    x = 1,187.03

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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.