Home / 2,022.54-3,033.83-561.70

Finding the Fourth Proportional to 2,022.54, 3,033.83 and 561.70

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Solution

The fourth proportional to 2,022.54, 3,033.83 and 561.70 is: 842.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.54 : 3,033.83 = 561.70 : x
  2. Step 2: Convert to fraction form
    2,022.54/3,033.83 = 561.70/x
  3. Step 3: Cross multiply
    2,022.54x = 3,033.83 × 561.70
  4. Step 4: Simplify right side
    2,022.54x = 1,704,102.31
  5. Step 5: Solve for x
    x = 1,704,102.31/2,022.54
  6. Step 6: Final answer
    x = 842.56

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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.