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Finding the Fourth Proportional to 2,213.44, 3,320.31 and 826.75

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Solution

The fourth proportional to 2,213.44, 3,320.31 and 826.75 is: 1,240.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.44 : 3,320.31 = 826.75 : x
  2. Step 2: Convert to fraction form
    2,213.44/3,320.31 = 826.75/x
  3. Step 3: Cross multiply
    2,213.44x = 3,320.31 × 826.75
  4. Step 4: Simplify right side
    2,213.44x = 2,745,066.29
  5. Step 5: Solve for x
    x = 2,745,066.29/2,213.44
  6. Step 6: Final answer
    x = 1,240.18

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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.