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Finding the Fourth Proportional to 2,213.06, 3,320.17 and 826.41

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Solution

The fourth proportional to 2,213.06, 3,320.17 and 826.41 is: 1,239.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.06 : 3,320.17 = 826.41 : x
  2. Step 2: Convert to fraction form
    2,213.06/3,320.17 = 826.41/x
  3. Step 3: Cross multiply
    2,213.06x = 3,320.17 × 826.41
  4. Step 4: Simplify right side
    2,213.06x = 2,743,821.69
  5. Step 5: Solve for x
    x = 2,743,821.69/2,213.06
  6. Step 6: Final answer
    x = 1,239.83

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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.