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Finding the Fourth Proportional to 2,433.44, 3,650.67 and 789.86

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Solution

The fourth proportional to 2,433.44, 3,650.67 and 789.86 is: 1,184.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433.44 : 3,650.67 = 789.86 : x
  2. Step 2: Convert to fraction form
    2,433.44/3,650.67 = 789.86/x
  3. Step 3: Cross multiply
    2,433.44x = 3,650.67 × 789.86
  4. Step 4: Simplify right side
    2,433.44x = 2,883,527.33
  5. Step 5: Solve for x
    x = 2,883,527.33/2,433.44
  6. Step 6: Final answer
    x = 1,184.96

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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.