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Finding the Fourth Proportional to 2,638.45, 3,957.93 and 789.22

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Solution

The fourth proportional to 2,638.45, 3,957.93 and 789.22 is: 1,183.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.45 : 3,957.93 = 789.22 : x
  2. Step 2: Convert to fraction form
    2,638.45/3,957.93 = 789.22/x
  3. Step 3: Cross multiply
    2,638.45x = 3,957.93 × 789.22
  4. Step 4: Simplify right side
    2,638.45x = 3,123,677.51
  5. Step 5: Solve for x
    x = 3,123,677.51/2,638.45
  6. Step 6: Final answer
    x = 1,183.91

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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.