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Finding the Fourth Proportional to 1,565.78, 2,343.86 and 1,122.92

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Solution

The fourth proportional to 1,565.78, 2,343.86 and 1,122.92 is: 1,680.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.78 : 2,343.86 = 1,122.92 : x
  2. Step 2: Convert to fraction form
    1,565.78/2,343.86 = 1,122.92/x
  3. Step 3: Cross multiply
    1,565.78x = 2,343.86 × 1,122.92
  4. Step 4: Simplify right side
    1,565.78x = 2,631,949.94
  5. Step 5: Solve for x
    x = 2,631,949.94/1,565.78
  6. Step 6: Final answer
    x = 1,680.92

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