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Finding the Fourth Proportional to 1,940.97, 2,678.44 and 1,101.75

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Solution

The fourth proportional to 1,940.97, 2,678.44 and 1,101.75 is: 1,520.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,940.97 : 2,678.44 = 1,101.75 : x
  2. Step 2: Convert to fraction form
    1,940.97/2,678.44 = 1,101.75/x
  3. Step 3: Cross multiply
    1,940.97x = 2,678.44 × 1,101.75
  4. Step 4: Simplify right side
    1,940.97x = 2,950,965.76
  5. Step 5: Solve for x
    x = 2,950,965.76/1,940.97
  6. Step 6: Final answer
    x = 1,520.36

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