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Finding the Fourth Proportional to 2,869.89, 4,304.04 and 789.41

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Solution

The fourth proportional to 2,869.89, 4,304.04 and 789.41 is: 1,183.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.89 : 4,304.04 = 789.41 : x
  2. Step 2: Convert to fraction form
    2,869.89/4,304.04 = 789.41/x
  3. Step 3: Cross multiply
    2,869.89x = 4,304.04 × 789.41
  4. Step 4: Simplify right side
    2,869.89x = 3,397,630.70
  5. Step 5: Solve for x
    x = 3,397,630.70/2,869.89
  6. Step 6: Final answer
    x = 1,183.89

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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.