Home / 2,022.68-3,033.24-1,097.28

Finding the Fourth Proportional to 2,022.68, 3,033.24 and 1,097.28

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Solution

The fourth proportional to 2,022.68, 3,033.24 and 1,097.28 is: 1,645.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.68 : 3,033.24 = 1,097.28 : x
  2. Step 2: Convert to fraction form
    2,022.68/3,033.24 = 1,097.28/x
  3. Step 3: Cross multiply
    2,022.68x = 3,033.24 × 1,097.28
  4. Step 4: Simplify right side
    2,022.68x = 3,328,313.59
  5. Step 5: Solve for x
    x = 3,328,313.59/2,022.68
  6. Step 6: Final answer
    x = 1,645.50

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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.