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Finding the Fourth Proportional to 2,255.44, 3,383.38 and 612

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Solution

The fourth proportional to 2,255.44, 3,383.38 and 612 is: 918.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.44 : 3,383.38 = 612 : x
  2. Step 2: Convert to fraction form
    2,255.44/3,383.38 = 612/x
  3. Step 3: Cross multiply
    2,255.44x = 3,383.38 × 612
  4. Step 4: Simplify right side
    2,255.44x = 2,070,628.56
  5. Step 5: Solve for x
    x = 2,070,628.56/2,255.44
  6. Step 6: Final answer
    x = 918.06

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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.