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Finding the Fourth Proportional to 2,450.82, 3,676.17 and 601.92

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Solution

The fourth proportional to 2,450.82, 3,676.17 and 601.92 is: 902.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450.82 : 3,676.17 = 601.92 : x
  2. Step 2: Convert to fraction form
    2,450.82/3,676.17 = 601.92/x
  3. Step 3: Cross multiply
    2,450.82x = 3,676.17 × 601.92
  4. Step 4: Simplify right side
    2,450.82x = 2,212,760.25
  5. Step 5: Solve for x
    x = 2,212,760.25/2,450.82
  6. Step 6: Final answer
    x = 902.87

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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.