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Finding the Fourth Proportional to 2,638.06, 3,957.80 and 789.18

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Solution

The fourth proportional to 2,638.06, 3,957.80 and 789.18 is: 1,183.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.06 : 3,957.80 = 789.18 : x
  2. Step 2: Convert to fraction form
    2,638.06/3,957.80 = 789.18/x
  3. Step 3: Cross multiply
    2,638.06x = 3,957.80 × 789.18
  4. Step 4: Simplify right side
    2,638.06x = 3,123,416.60
  5. Step 5: Solve for x
    x = 3,123,416.60/2,638.06
  6. Step 6: Final answer
    x = 1,183.98

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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.