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Finding the Fourth Proportional to 1,829.92, 2,744.05 and 789.43

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Solution

The fourth proportional to 1,829.92, 2,744.05 and 789.43 is: 1,183.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.92 : 2,744.05 = 789.43 : x
  2. Step 2: Convert to fraction form
    1,829.92/2,744.05 = 789.43/x
  3. Step 3: Cross multiply
    1,829.92x = 2,744.05 × 789.43
  4. Step 4: Simplify right side
    1,829.92x = 2,166,235.39
  5. Step 5: Solve for x
    x = 2,166,235.39/1,829.92
  6. Step 6: Final answer
    x = 1,183.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.