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Finding the Fourth Proportional to 2,255.97, 3,383.91 and 1,022.49

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Solution

The fourth proportional to 2,255.97, 3,383.91 and 1,022.49 is: 1,533.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.97 : 3,383.91 = 1,022.49 : x
  2. Step 2: Convert to fraction form
    2,255.97/3,383.91 = 1,022.49/x
  3. Step 3: Cross multiply
    2,255.97x = 3,383.91 × 1,022.49
  4. Step 4: Simplify right side
    2,255.97x = 3,460,014.14
  5. Step 5: Solve for x
    x = 3,460,014.14/2,255.97
  6. Step 6: Final answer
    x = 1,533.71

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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.