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Finding the Fourth Proportional to 2,135.73, 3,200.36 and 1,585.34

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Solution

The fourth proportional to 2,135.73, 3,200.36 and 1,585.34 is: 2,375.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.73 : 3,200.36 = 1,585.34 : x
  2. Step 2: Convert to fraction form
    2,135.73/3,200.36 = 1,585.34/x
  3. Step 3: Cross multiply
    2,135.73x = 3,200.36 × 1,585.34
  4. Step 4: Simplify right side
    2,135.73x = 5,073,634.79
  5. Step 5: Solve for x
    x = 5,073,634.79/2,135.73
  6. Step 6: Final answer
    x = 2,375.60

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