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Finding the Fourth Proportional to 2,553.84, 3,834.32 and 1,771.96

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Solution

The fourth proportional to 2,553.84, 3,834.32 and 1,771.96 is: 2,660.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.84 : 3,834.32 = 1,771.96 : x
  2. Step 2: Convert to fraction form
    2,553.84/3,834.32 = 1,771.96/x
  3. Step 3: Cross multiply
    2,553.84x = 3,834.32 × 1,771.96
  4. Step 4: Simplify right side
    2,553.84x = 6,794,261.67
  5. Step 5: Solve for x
    x = 6,794,261.67/2,553.84
  6. Step 6: Final answer
    x = 2,660.41

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