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Finding the Fourth Proportional to 1,422.78, 2,131.08 and 690.82

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Solution

The fourth proportional to 1,422.78, 2,131.08 and 690.82 is: 1,034.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.78 : 2,131.08 = 690.82 : x
  2. Step 2: Convert to fraction form
    1,422.78/2,131.08 = 690.82/x
  3. Step 3: Cross multiply
    1,422.78x = 2,131.08 × 690.82
  4. Step 4: Simplify right side
    1,422.78x = 1,472,192.69
  5. Step 5: Solve for x
    x = 1,472,192.69/1,422.78
  6. Step 6: Final answer
    x = 1,034.73

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