Home / 2,022.16-3,033.24-705.92

Finding the Fourth Proportional to 2,022.16, 3,033.24 and 705.92

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Solution

The fourth proportional to 2,022.16, 3,033.24 and 705.92 is: 1,058.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.16 : 3,033.24 = 705.92 : x
  2. Step 2: Convert to fraction form
    2,022.16/3,033.24 = 705.92/x
  3. Step 3: Cross multiply
    2,022.16x = 3,033.24 × 705.92
  4. Step 4: Simplify right side
    2,022.16x = 2,141,224.78
  5. Step 5: Solve for x
    x = 2,141,224.78/2,022.16
  6. Step 6: Final answer
    x = 1,058.88

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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.