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Finding the Fourth Proportional to 2,007.82, 2,771.88 and 1,849.72

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Solution

The fourth proportional to 2,007.82, 2,771.88 and 1,849.72 is: 2,553.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.82 : 2,771.88 = 1,849.72 : x
  2. Step 2: Convert to fraction form
    2,007.82/2,771.88 = 1,849.72/x
  3. Step 3: Cross multiply
    2,007.82x = 2,771.88 × 1,849.72
  4. Step 4: Simplify right side
    2,007.82x = 5,127,201.87
  5. Step 5: Solve for x
    x = 5,127,201.87/2,007.82
  6. Step 6: Final answer
    x = 2,553.62

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