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Finding the Fourth Proportional to 2,745.82, 3,789.23 and 1,627.31

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Solution

The fourth proportional to 2,745.82, 3,789.23 and 1,627.31 is: 2,245.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.82 : 3,789.23 = 1,627.31 : x
  2. Step 2: Convert to fraction form
    2,745.82/3,789.23 = 1,627.31/x
  3. Step 3: Cross multiply
    2,745.82x = 3,789.23 × 1,627.31
  4. Step 4: Simplify right side
    2,745.82x = 6,166,241.05
  5. Step 5: Solve for x
    x = 6,166,241.05/2,745.82
  6. Step 6: Final answer
    x = 2,245.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.