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Finding the Fourth Proportional to 1,608.05, 2,416.13 and 1,023.32

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Solution

The fourth proportional to 1,608.05, 2,416.13 and 1,023.32 is: 1,537.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.05 : 2,416.13 = 1,023.32 : x
  2. Step 2: Convert to fraction form
    1,608.05/2,416.13 = 1,023.32/x
  3. Step 3: Cross multiply
    1,608.05x = 2,416.13 × 1,023.32
  4. Step 4: Simplify right side
    1,608.05x = 2,472,456.95
  5. Step 5: Solve for x
    x = 2,472,456.95/1,608.05
  6. Step 6: Final answer
    x = 1,537.55

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