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Finding the Fourth Proportional to 1,734.98, 2,602.46 and 1,185.80

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Solution

The fourth proportional to 1,734.98, 2,602.46 and 1,185.80 is: 1,778.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.98 : 2,602.46 = 1,185.80 : x
  2. Step 2: Convert to fraction form
    1,734.98/2,602.46 = 1,185.80/x
  3. Step 3: Cross multiply
    1,734.98x = 2,602.46 × 1,185.80
  4. Step 4: Simplify right side
    1,734.98x = 3,085,987.02
  5. Step 5: Solve for x
    x = 3,085,987.02/1,734.98
  6. Step 6: Final answer
    x = 1,778.69

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