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Finding the Fourth Proportional to 2,765.60, 4,149.84 and 1,791.44

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Solution

The fourth proportional to 2,765.60, 4,149.84 and 1,791.44 is: 2,688.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.60 : 4,149.84 = 1,791.44 : x
  2. Step 2: Convert to fraction form
    2,765.60/4,149.84 = 1,791.44/x
  3. Step 3: Cross multiply
    2,765.60x = 4,149.84 × 1,791.44
  4. Step 4: Simplify right side
    2,765.60x = 7,434,189.37
  5. Step 5: Solve for x
    x = 7,434,189.37/2,765.60
  6. Step 6: Final answer
    x = 2,688.09

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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.