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Finding the Fourth Proportional to 2,584.91, 3,567.19 and 1,405.99

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Solution

The fourth proportional to 2,584.91, 3,567.19 and 1,405.99 is: 1,940.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.91 : 3,567.19 = 1,405.99 : x
  2. Step 2: Convert to fraction form
    2,584.91/3,567.19 = 1,405.99/x
  3. Step 3: Cross multiply
    2,584.91x = 3,567.19 × 1,405.99
  4. Step 4: Simplify right side
    2,584.91x = 5,015,415.63
  5. Step 5: Solve for x
    x = 5,015,415.63/2,584.91
  6. Step 6: Final answer
    x = 1,940.27

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