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Finding the Fourth Proportional to 2,028.92, 2,800.17 and 1,144.80

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Solution

The fourth proportional to 2,028.92, 2,800.17 and 1,144.80 is: 1,579.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.92 : 2,800.17 = 1,144.80 : x
  2. Step 2: Convert to fraction form
    2,028.92/2,800.17 = 1,144.80/x
  3. Step 3: Cross multiply
    2,028.92x = 2,800.17 × 1,144.80
  4. Step 4: Simplify right side
    2,028.92x = 3,205,634.62
  5. Step 5: Solve for x
    x = 3,205,634.62/2,028.92
  6. Step 6: Final answer
    x = 1,579.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.