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Finding the Fourth Proportional to 2,637.99, 3,957.03 and 789.18

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Solution

The fourth proportional to 2,637.99, 3,957.03 and 789.18 is: 1,183.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,637.99 : 3,957.03 = 789.18 : x
  2. Step 2: Convert to fraction form
    2,637.99/3,957.03 = 789.18/x
  3. Step 3: Cross multiply
    2,637.99x = 3,957.03 × 789.18
  4. Step 4: Simplify right side
    2,637.99x = 3,122,808.94
  5. Step 5: Solve for x
    x = 3,122,808.94/2,637.99
  6. Step 6: Final answer
    x = 1,183.78

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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.