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Finding the Fourth Proportional to 2,782.16, 4,167.09 and 1,902.58

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Solution

The fourth proportional to 2,782.16, 4,167.09 and 1,902.58 is: 2,849.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.16 : 4,167.09 = 1,902.58 : x
  2. Step 2: Convert to fraction form
    2,782.16/4,167.09 = 1,902.58/x
  3. Step 3: Cross multiply
    2,782.16x = 4,167.09 × 1,902.58
  4. Step 4: Simplify right side
    2,782.16x = 7,928,226.85
  5. Step 5: Solve for x
    x = 7,928,226.85/2,782.16
  6. Step 6: Final answer
    x = 2,849.66

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