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Finding the Fourth Proportional to 1,733.78, 2,599.23 and 1,185.20

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Solution

The fourth proportional to 1,733.78, 2,599.23 and 1,185.20 is: 1,776.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.78 : 2,599.23 = 1,185.20 : x
  2. Step 2: Convert to fraction form
    1,733.78/2,599.23 = 1,185.20/x
  3. Step 3: Cross multiply
    1,733.78x = 2,599.23 × 1,185.20
  4. Step 4: Simplify right side
    1,733.78x = 3,080,607.40
  5. Step 5: Solve for x
    x = 3,080,607.40/1,733.78
  6. Step 6: Final answer
    x = 1,776.82

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