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Finding the Fourth Proportional to 2,250.25, 3,105.41 and 1,255.50

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Solution

The fourth proportional to 2,250.25, 3,105.41 and 1,255.50 is: 1,732.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,250.25 : 3,105.41 = 1,255.50 : x
  2. Step 2: Convert to fraction form
    2,250.25/3,105.41 = 1,255.50/x
  3. Step 3: Cross multiply
    2,250.25x = 3,105.41 × 1,255.50
  4. Step 4: Simplify right side
    2,250.25x = 3,898,835.98
  5. Step 5: Solve for x
    x = 3,898,835.98/2,250.25
  6. Step 6: Final answer
    x = 1,732.63

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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.