Home / 2,022.14-3,033.08-789.32

Finding the Fourth Proportional to 2,022.14, 3,033.08 and 789.32

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Solution

The fourth proportional to 2,022.14, 3,033.08 and 789.32 is: 1,183.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.14 : 3,033.08 = 789.32 : x
  2. Step 2: Convert to fraction form
    2,022.14/3,033.08 = 789.32/x
  3. Step 3: Cross multiply
    2,022.14x = 3,033.08 × 789.32
  4. Step 4: Simplify right side
    2,022.14x = 2,394,070.71
  5. Step 5: Solve for x
    x = 2,394,070.71/2,022.14
  6. Step 6: Final answer
    x = 1,183.93

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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.