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Finding the Fourth Proportional to 2,233.97, 3,347.43 and 826.46

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Solution

The fourth proportional to 2,233.97, 3,347.43 and 826.46 is: 1,238.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.97 : 3,347.43 = 826.46 : x
  2. Step 2: Convert to fraction form
    2,233.97/3,347.43 = 826.46/x
  3. Step 3: Cross multiply
    2,233.97x = 3,347.43 × 826.46
  4. Step 4: Simplify right side
    2,233.97x = 2,766,500.26
  5. Step 5: Solve for x
    x = 2,766,500.26/2,233.97
  6. Step 6: Final answer
    x = 1,238.38

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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.