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Finding the Fourth Proportional to 3,027.30, 4,540.77 and 805.97

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Solution

The fourth proportional to 3,027.30, 4,540.77 and 805.97 is: 1,208.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027.30 : 4,540.77 = 805.97 : x
  2. Step 2: Convert to fraction form
    3,027.30/4,540.77 = 805.97/x
  3. Step 3: Cross multiply
    3,027.30x = 4,540.77 × 805.97
  4. Step 4: Simplify right side
    3,027.30x = 3,659,701.69
  5. Step 5: Solve for x
    x = 3,659,701.69/3,027.30
  6. Step 6: Final answer
    x = 1,208.90

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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.