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Finding the Fourth Proportional to 2,028.96, 2,800.09 and 1,144.44

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Solution

The fourth proportional to 2,028.96, 2,800.09 and 1,144.44 is: 1,579.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.96 : 2,800.09 = 1,144.44 : x
  2. Step 2: Convert to fraction form
    2,028.96/2,800.09 = 1,144.44/x
  3. Step 3: Cross multiply
    2,028.96x = 2,800.09 × 1,144.44
  4. Step 4: Simplify right side
    2,028.96x = 3,204,521.00
  5. Step 5: Solve for x
    x = 3,204,521.00/2,028.96
  6. Step 6: Final answer
    x = 1,579.39

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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.