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Finding the Fourth Proportional to 2,450.72, 3,676.24 and 1,794.56

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Solution

The fourth proportional to 2,450.72, 3,676.24 and 1,794.56 is: 2,691.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450.72 : 3,676.24 = 1,794.56 : x
  2. Step 2: Convert to fraction form
    2,450.72/3,676.24 = 1,794.56/x
  3. Step 3: Cross multiply
    2,450.72x = 3,676.24 × 1,794.56
  4. Step 4: Simplify right side
    2,450.72x = 6,597,233.25
  5. Step 5: Solve for x
    x = 6,597,233.25/2,450.72
  6. Step 6: Final answer
    x = 2,691.96

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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.