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Finding the Fourth Proportional to 2,131.76, 2,942.12 and 1,606.88

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Solution

The fourth proportional to 2,131.76, 2,942.12 and 1,606.88 is: 2,217.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.76 : 2,942.12 = 1,606.88 : x
  2. Step 2: Convert to fraction form
    2,131.76/2,942.12 = 1,606.88/x
  3. Step 3: Cross multiply
    2,131.76x = 2,942.12 × 1,606.88
  4. Step 4: Simplify right side
    2,131.76x = 4,727,633.79
  5. Step 5: Solve for x
    x = 4,727,633.79/2,131.76
  6. Step 6: Final answer
    x = 2,217.71

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