Home / 2,022.20-3,033.66-706.15

Finding the Fourth Proportional to 2,022.20, 3,033.66 and 706.15

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Solution

The fourth proportional to 2,022.20, 3,033.66 and 706.15 is: 1,059.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.20 : 3,033.66 = 706.15 : x
  2. Step 2: Convert to fraction form
    2,022.20/3,033.66 = 706.15/x
  3. Step 3: Cross multiply
    2,022.20x = 3,033.66 × 706.15
  4. Step 4: Simplify right side
    2,022.20x = 2,142,203.84
  5. Step 5: Solve for x
    x = 2,142,203.84/2,022.20
  6. Step 6: Final answer
    x = 1,059.35

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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.