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Finding the Fourth Proportional to 2,257.56, 3,383.04 and 1,433.22

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Solution

The fourth proportional to 2,257.56, 3,383.04 and 1,433.22 is: 2,147.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.56 : 3,383.04 = 1,433.22 : x
  2. Step 2: Convert to fraction form
    2,257.56/3,383.04 = 1,433.22/x
  3. Step 3: Cross multiply
    2,257.56x = 3,383.04 × 1,433.22
  4. Step 4: Simplify right side
    2,257.56x = 4,848,640.59
  5. Step 5: Solve for x
    x = 4,848,640.59/2,257.56
  6. Step 6: Final answer
    x = 2,147.73

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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.