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Finding the Fourth Proportional to 2,763.97, 4,146.11 and 1,796.23

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Solution

The fourth proportional to 2,763.97, 4,146.11 and 1,796.23 is: 2,694.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.97 : 4,146.11 = 1,796.23 : x
  2. Step 2: Convert to fraction form
    2,763.97/4,146.11 = 1,796.23/x
  3. Step 3: Cross multiply
    2,763.97x = 4,146.11 × 1,796.23
  4. Step 4: Simplify right side
    2,763.97x = 7,447,351.83
  5. Step 5: Solve for x
    x = 7,447,351.83/2,763.97
  6. Step 6: Final answer
    x = 2,694.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.