Home / 2,022.21-3,033.09-705.78

Finding the Fourth Proportional to 2,022.21, 3,033.09 and 705.78

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Solution

The fourth proportional to 2,022.21, 3,033.09 and 705.78 is: 1,058.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.21 : 3,033.09 = 705.78 : x
  2. Step 2: Convert to fraction form
    2,022.21/3,033.09 = 705.78/x
  3. Step 3: Cross multiply
    2,022.21x = 3,033.09 × 705.78
  4. Step 4: Simplify right side
    2,022.21x = 2,140,694.26
  5. Step 5: Solve for x
    x = 2,140,694.26/2,022.21
  6. Step 6: Final answer
    x = 1,058.59

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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.