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Finding the Fourth Proportional to 3,209.66, 4,429.07 and 1,793.22

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Solution

The fourth proportional to 3,209.66, 4,429.07 and 1,793.22 is: 2,474.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.66 : 4,429.07 = 1,793.22 : x
  2. Step 2: Convert to fraction form
    3,209.66/4,429.07 = 1,793.22/x
  3. Step 3: Cross multiply
    3,209.66x = 4,429.07 × 1,793.22
  4. Step 4: Simplify right side
    3,209.66x = 7,942,287.94
  5. Step 5: Solve for x
    x = 7,942,287.94/3,209.66
  6. Step 6: Final answer
    x = 2,474.50

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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.