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Finding the Fourth Proportional to 1,693.76, 2,542.46 and 1,422.82

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Solution

The fourth proportional to 1,693.76, 2,542.46 and 1,422.82 is: 2,135.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.76 : 2,542.46 = 1,422.82 : x
  2. Step 2: Convert to fraction form
    1,693.76/2,542.46 = 1,422.82/x
  3. Step 3: Cross multiply
    1,693.76x = 2,542.46 × 1,422.82
  4. Step 4: Simplify right side
    1,693.76x = 3,617,462.94
  5. Step 5: Solve for x
    x = 3,617,462.94/1,693.76
  6. Step 6: Final answer
    x = 2,135.76

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