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Finding the Fourth Proportional to 2,095.22, 3,142.94 and 862.81

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Solution

The fourth proportional to 2,095.22, 3,142.94 and 862.81 is: 1,294.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.22 : 3,142.94 = 862.81 : x
  2. Step 2: Convert to fraction form
    2,095.22/3,142.94 = 862.81/x
  3. Step 3: Cross multiply
    2,095.22x = 3,142.94 × 862.81
  4. Step 4: Simplify right side
    2,095.22x = 2,711,747.89
  5. Step 5: Solve for x
    x = 2,711,747.89/2,095.22
  6. Step 6: Final answer
    x = 1,294.25

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