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Finding the Fourth Proportional to 2,027.97, 3,041.93 and 641.30

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Solution

The fourth proportional to 2,027.97, 3,041.93 and 641.30 is: 961.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.97 : 3,041.93 = 641.30 : x
  2. Step 2: Convert to fraction form
    2,027.97/3,041.93 = 641.30/x
  3. Step 3: Cross multiply
    2,027.97x = 3,041.93 × 641.30
  4. Step 4: Simplify right side
    2,027.97x = 1,950,797.31
  5. Step 5: Solve for x
    x = 1,950,797.31/2,027.97
  6. Step 6: Final answer
    x = 961.95

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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.