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Finding the Fourth Proportional to 1,605.05, 2,405.14 and 1,192.25

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Solution

The fourth proportional to 1,605.05, 2,405.14 and 1,192.25 is: 1,786.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.05 : 2,405.14 = 1,192.25 : x
  2. Step 2: Convert to fraction form
    1,605.05/2,405.14 = 1,192.25/x
  3. Step 3: Cross multiply
    1,605.05x = 2,405.14 × 1,192.25
  4. Step 4: Simplify right side
    1,605.05x = 2,867,528.17
  5. Step 5: Solve for x
    x = 2,867,528.17/1,605.05
  6. Step 6: Final answer
    x = 1,786.57

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