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Finding the Fourth Proportional to 2,676.45, 4,013.24 and 826.77

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Solution

The fourth proportional to 2,676.45, 4,013.24 and 826.77 is: 1,239.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.45 : 4,013.24 = 826.77 : x
  2. Step 2: Convert to fraction form
    2,676.45/4,013.24 = 826.77/x
  3. Step 3: Cross multiply
    2,676.45x = 4,013.24 × 826.77
  4. Step 4: Simplify right side
    2,676.45x = 3,318,022.30
  5. Step 5: Solve for x
    x = 3,318,022.30/2,676.45
  6. Step 6: Final answer
    x = 1,239.71

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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.