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Finding the Fourth Proportional to 2,867.94, 4,301.82 and 1,406.64

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Solution

The fourth proportional to 2,867.94, 4,301.82 and 1,406.64 is: 2,109.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.94 : 4,301.82 = 1,406.64 : x
  2. Step 2: Convert to fraction form
    2,867.94/4,301.82 = 1,406.64/x
  3. Step 3: Cross multiply
    2,867.94x = 4,301.82 × 1,406.64
  4. Step 4: Simplify right side
    2,867.94x = 6,051,112.08
  5. Step 5: Solve for x
    x = 6,051,112.08/2,867.94
  6. Step 6: Final answer
    x = 2,109.92

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