Home / 2,022.22-3,033.12-705.94

Finding the Fourth Proportional to 2,022.22, 3,033.12 and 705.94

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Solution

The fourth proportional to 2,022.22, 3,033.12 and 705.94 is: 1,058.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.22 : 3,033.12 = 705.94 : x
  2. Step 2: Convert to fraction form
    2,022.22/3,033.12 = 705.94/x
  3. Step 3: Cross multiply
    2,022.22x = 3,033.12 × 705.94
  4. Step 4: Simplify right side
    2,022.22x = 2,141,200.73
  5. Step 5: Solve for x
    x = 2,141,200.73/2,022.22
  6. Step 6: Final answer
    x = 1,058.84

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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.