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Finding the Fourth Proportional to 2,433.93, 3,651.10 and 789.83

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Solution

The fourth proportional to 2,433.93, 3,651.10 and 789.83 is: 1,184.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433.93 : 3,651.10 = 789.83 : x
  2. Step 2: Convert to fraction form
    2,433.93/3,651.10 = 789.83/x
  3. Step 3: Cross multiply
    2,433.93x = 3,651.10 × 789.83
  4. Step 4: Simplify right side
    2,433.93x = 2,883,755.47
  5. Step 5: Solve for x
    x = 2,883,755.47/2,433.93
  6. Step 6: Final answer
    x = 1,184.81

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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.