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Finding the Fourth Proportional to 2,471.05, 3,704.23 and 826.44

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Solution

The fourth proportional to 2,471.05, 3,704.23 and 826.44 is: 1,238.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.05 : 3,704.23 = 826.44 : x
  2. Step 2: Convert to fraction form
    2,471.05/3,704.23 = 826.44/x
  3. Step 3: Cross multiply
    2,471.05x = 3,704.23 × 826.44
  4. Step 4: Simplify right side
    2,471.05x = 3,061,323.84
  5. Step 5: Solve for x
    x = 3,061,323.84/2,471.05
  6. Step 6: Final answer
    x = 1,238.88

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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.