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Finding the Fourth Proportional to 2,763.97, 4,142.89 and 1,120.03

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Solution

The fourth proportional to 2,763.97, 4,142.89 and 1,120.03 is: 1,678.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.97 : 4,142.89 = 1,120.03 : x
  2. Step 2: Convert to fraction form
    2,763.97/4,142.89 = 1,120.03/x
  3. Step 3: Cross multiply
    2,763.97x = 4,142.89 × 1,120.03
  4. Step 4: Simplify right side
    2,763.97x = 4,640,150.73
  5. Step 5: Solve for x
    x = 4,640,150.73/2,763.97
  6. Step 6: Final answer
    x = 1,678.80

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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.