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Finding the Fourth Proportional to 2,738.98, 4,109.85 and 1,096

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Solution

The fourth proportional to 2,738.98, 4,109.85 and 1,096 is: 1,644.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.98 : 4,109.85 = 1,096 : x
  2. Step 2: Convert to fraction form
    2,738.98/4,109.85 = 1,096/x
  3. Step 3: Cross multiply
    2,738.98x = 4,109.85 × 1,096
  4. Step 4: Simplify right side
    2,738.98x = 4,504,395.60
  5. Step 5: Solve for x
    x = 4,504,395.60/2,738.98
  6. Step 6: Final answer
    x = 1,644.55

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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.