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Finding the Fourth Proportional to 1,397.86, 2,096.82 and 1,122.66

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Solution

The fourth proportional to 1,397.86, 2,096.82 and 1,122.66 is: 1,684.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.86 : 2,096.82 = 1,122.66 : x
  2. Step 2: Convert to fraction form
    1,397.86/2,096.82 = 1,122.66/x
  3. Step 3: Cross multiply
    1,397.86x = 2,096.82 × 1,122.66
  4. Step 4: Simplify right side
    1,397.86x = 2,354,015.94
  5. Step 5: Solve for x
    x = 2,354,015.94/1,397.86
  6. Step 6: Final answer
    x = 1,684.02

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