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Finding the Fourth Proportional to 1,584.94, 2,187.82 and 1,418.86

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Solution

The fourth proportional to 1,584.94, 2,187.82 and 1,418.86 is: 1,958.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.94 : 2,187.82 = 1,418.86 : x
  2. Step 2: Convert to fraction form
    1,584.94/2,187.82 = 1,418.86/x
  3. Step 3: Cross multiply
    1,584.94x = 2,187.82 × 1,418.86
  4. Step 4: Simplify right side
    1,584.94x = 3,104,210.29
  5. Step 5: Solve for x
    x = 3,104,210.29/1,584.94
  6. Step 6: Final answer
    x = 1,958.57

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