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Finding the Fourth Proportional to 2,433.07, 3,650.14 and 789.79

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Solution

The fourth proportional to 2,433.07, 3,650.14 and 789.79 is: 1,184.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433.07 : 3,650.14 = 789.79 : x
  2. Step 2: Convert to fraction form
    2,433.07/3,650.14 = 789.79/x
  3. Step 3: Cross multiply
    2,433.07x = 3,650.14 × 789.79
  4. Step 4: Simplify right side
    2,433.07x = 2,882,844.07
  5. Step 5: Solve for x
    x = 2,882,844.07/2,433.07
  6. Step 6: Final answer
    x = 1,184.86

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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.