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Finding the Fourth Proportional to 2,771.46, 3,845.78 and 2,664.54

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Solution

The fourth proportional to 2,771.46, 3,845.78 and 2,664.54 is: 3,697.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.46 : 3,845.78 = 2,664.54 : x
  2. Step 2: Convert to fraction form
    2,771.46/3,845.78 = 2,664.54/x
  3. Step 3: Cross multiply
    2,771.46x = 3,845.78 × 2,664.54
  4. Step 4: Simplify right side
    2,771.46x = 10,247,234.64
  5. Step 5: Solve for x
    x = 10,247,234.64/2,771.46
  6. Step 6: Final answer
    x = 3,697.41

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.