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Finding the Fourth Proportional to 2,584.31, 3,872.61 and 1,122.66

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Solution

The fourth proportional to 2,584.31, 3,872.61 and 1,122.66 is: 1,682.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.31 : 3,872.61 = 1,122.66 : x
  2. Step 2: Convert to fraction form
    2,584.31/3,872.61 = 1,122.66/x
  3. Step 3: Cross multiply
    2,584.31x = 3,872.61 × 1,122.66
  4. Step 4: Simplify right side
    2,584.31x = 4,347,624.34
  5. Step 5: Solve for x
    x = 4,347,624.34/2,584.31
  6. Step 6: Final answer
    x = 1,682.32

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