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Finding the Fourth Proportional to 2,057.97, 3,086.94 and 1,749.09

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Solution

The fourth proportional to 2,057.97, 3,086.94 and 1,749.09 is: 2,623.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.97 : 3,086.94 = 1,749.09 : x
  2. Step 2: Convert to fraction form
    2,057.97/3,086.94 = 1,749.09/x
  3. Step 3: Cross multiply
    2,057.97x = 3,086.94 × 1,749.09
  4. Step 4: Simplify right side
    2,057.97x = 5,399,335.88
  5. Step 5: Solve for x
    x = 5,399,335.88/2,057.97
  6. Step 6: Final answer
    x = 2,623.62

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1.5x scale

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.