Home / 2,122.25-3,161.49-2,057.76

Finding the Fourth Proportional to 2,122.25, 3,161.49 and 2,057.76

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Solution

The fourth proportional to 2,122.25, 3,161.49 and 2,057.76 is: 3,065.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.25 : 3,161.49 = 2,057.76 : x
  2. Step 2: Convert to fraction form
    2,122.25/3,161.49 = 2,057.76/x
  3. Step 3: Cross multiply
    2,122.25x = 3,161.49 × 2,057.76
  4. Step 4: Simplify right side
    2,122.25x = 6,505,579.95
  5. Step 5: Solve for x
    x = 6,505,579.95/2,122.25
  6. Step 6: Final answer
    x = 3,065.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.