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Finding the Fourth Proportional to 3,201.57, 4,805.09 and 1,255.14

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Solution

The fourth proportional to 3,201.57, 4,805.09 and 1,255.14 is: 1,883.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.57 : 4,805.09 = 1,255.14 : x
  2. Step 2: Convert to fraction form
    3,201.57/4,805.09 = 1,255.14/x
  3. Step 3: Cross multiply
    3,201.57x = 4,805.09 × 1,255.14
  4. Step 4: Simplify right side
    3,201.57x = 6,031,054.39
  5. Step 5: Solve for x
    x = 6,031,054.39/3,201.57
  6. Step 6: Final answer
    x = 1,883.78

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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.