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Finding the Fourth Proportional to 2,087.64, 3,128.09 and 1,917.81

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Solution

The fourth proportional to 2,087.64, 3,128.09 and 1,917.81 is: 2,873.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.64 : 3,128.09 = 1,917.81 : x
  2. Step 2: Convert to fraction form
    2,087.64/3,128.09 = 1,917.81/x
  3. Step 3: Cross multiply
    2,087.64x = 3,128.09 × 1,917.81
  4. Step 4: Simplify right side
    2,087.64x = 5,999,072.69
  5. Step 5: Solve for x
    x = 5,999,072.69/2,087.64
  6. Step 6: Final answer
    x = 2,873.61

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