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Finding the Fourth Proportional to 3,209.68, 4,429.48 and 1,793.29

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Solution

The fourth proportional to 3,209.68, 4,429.48 and 1,793.29 is: 2,474.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.68 : 4,429.48 = 1,793.29 : x
  2. Step 2: Convert to fraction form
    3,209.68/4,429.48 = 1,793.29/x
  3. Step 3: Cross multiply
    3,209.68x = 4,429.48 × 1,793.29
  4. Step 4: Simplify right side
    3,209.68x = 7,943,342.19
  5. Step 5: Solve for x
    x = 7,943,342.19/3,209.68
  6. Step 6: Final answer
    x = 2,474.81

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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.