Home / 2,022.32-3,033.82-926.78

Finding the Fourth Proportional to 2,022.32, 3,033.82 and 926.78

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Solution

The fourth proportional to 2,022.32, 3,033.82 and 926.78 is: 1,390.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.32 : 3,033.82 = 926.78 : x
  2. Step 2: Convert to fraction form
    2,022.32/3,033.82 = 926.78/x
  3. Step 3: Cross multiply
    2,022.32x = 3,033.82 × 926.78
  4. Step 4: Simplify right side
    2,022.32x = 2,811,669.69
  5. Step 5: Solve for x
    x = 2,811,669.69/2,022.32
  6. Step 6: Final answer
    x = 1,390.32

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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.