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Finding the Fourth Proportional to 3,209.67, 4,429.64 and 1,950.44

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Solution

The fourth proportional to 3,209.67, 4,429.64 and 1,950.44 is: 2,691.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.67 : 4,429.64 = 1,950.44 : x
  2. Step 2: Convert to fraction form
    3,209.67/4,429.64 = 1,950.44/x
  3. Step 3: Cross multiply
    3,209.67x = 4,429.64 × 1,950.44
  4. Step 4: Simplify right side
    3,209.67x = 8,639,729.77
  5. Step 5: Solve for x
    x = 8,639,729.77/3,209.67
  6. Step 6: Final answer
    x = 2,691.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.