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Finding the Fourth Proportional to 2,194.62, 3,293.31 and 1,600.53

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Solution

The fourth proportional to 2,194.62, 3,293.31 and 1,600.53 is: 2,401.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.62 : 3,293.31 = 1,600.53 : x
  2. Step 2: Convert to fraction form
    2,194.62/3,293.31 = 1,600.53/x
  3. Step 3: Cross multiply
    2,194.62x = 3,293.31 × 1,600.53
  4. Step 4: Simplify right side
    2,194.62x = 5,271,041.45
  5. Step 5: Solve for x
    x = 5,271,041.45/2,194.62
  6. Step 6: Final answer
    x = 2,401.80

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