Home / 2,022.26-3,033.16-705.78

Finding the Fourth Proportional to 2,022.26, 3,033.16 and 705.78

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Solution

The fourth proportional to 2,022.26, 3,033.16 and 705.78 is: 1,058.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.26 : 3,033.16 = 705.78 : x
  2. Step 2: Convert to fraction form
    2,022.26/3,033.16 = 705.78/x
  3. Step 3: Cross multiply
    2,022.26x = 3,033.16 × 705.78
  4. Step 4: Simplify right side
    2,022.26x = 2,140,743.66
  5. Step 5: Solve for x
    x = 2,140,743.66/2,022.26
  6. Step 6: Final answer
    x = 1,058.59

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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.