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Finding the Fourth Proportional to 1,546.98, 2,322.90 and 1,223.78

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Solution

The fourth proportional to 1,546.98, 2,322.90 and 1,223.78 is: 1,837.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.98 : 2,322.90 = 1,223.78 : x
  2. Step 2: Convert to fraction form
    1,546.98/2,322.90 = 1,223.78/x
  3. Step 3: Cross multiply
    1,546.98x = 2,322.90 × 1,223.78
  4. Step 4: Simplify right side
    1,546.98x = 2,842,718.56
  5. Step 5: Solve for x
    x = 2,842,718.56/1,546.98
  6. Step 6: Final answer
    x = 1,837.59

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