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Finding the Fourth Proportional to 1,942.88, 2,678.67 and 1,588.43

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Solution

The fourth proportional to 1,942.88, 2,678.67 and 1,588.43 is: 2,189.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.88 : 2,678.67 = 1,588.43 : x
  2. Step 2: Convert to fraction form
    1,942.88/2,678.67 = 1,588.43/x
  3. Step 3: Cross multiply
    1,942.88x = 2,678.67 × 1,588.43
  4. Step 4: Simplify right side
    1,942.88x = 4,254,879.79
  5. Step 5: Solve for x
    x = 4,254,879.79/1,942.88
  6. Step 6: Final answer
    x = 2,189.99

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