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Finding the Fourth Proportional to 2,255.78, 3,112.88 and 1,311.44

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Solution

The fourth proportional to 2,255.78, 3,112.88 and 1,311.44 is: 1,809.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.78 : 3,112.88 = 1,311.44 : x
  2. Step 2: Convert to fraction form
    2,255.78/3,112.88 = 1,311.44/x
  3. Step 3: Cross multiply
    2,255.78x = 3,112.88 × 1,311.44
  4. Step 4: Simplify right side
    2,255.78x = 4,082,355.35
  5. Step 5: Solve for x
    x = 4,082,355.35/2,255.78
  6. Step 6: Final answer
    x = 1,809.73

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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.