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Finding the Fourth Proportional to 2,675.96, 4,013.44 and 826.84

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Solution

The fourth proportional to 2,675.96, 4,013.44 and 826.84 is: 1,240.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.96 : 4,013.44 = 826.84 : x
  2. Step 2: Convert to fraction form
    2,675.96/4,013.44 = 826.84/x
  3. Step 3: Cross multiply
    2,675.96x = 4,013.44 × 826.84
  4. Step 4: Simplify right side
    2,675.96x = 3,318,472.73
  5. Step 5: Solve for x
    x = 3,318,472.73/2,675.96
  6. Step 6: Final answer
    x = 1,240.11

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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.