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Finding the Fourth Proportional to 1,764.40, 2,642.80 and 1,186.60

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Solution

The fourth proportional to 1,764.40, 2,642.80 and 1,186.60 is: 1,777.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.40 : 2,642.80 = 1,186.60 : x
  2. Step 2: Convert to fraction form
    1,764.40/2,642.80 = 1,186.60/x
  3. Step 3: Cross multiply
    1,764.40x = 2,642.80 × 1,186.60
  4. Step 4: Simplify right side
    1,764.40x = 3,135,946.48
  5. Step 5: Solve for x
    x = 3,135,946.48/1,764.40
  6. Step 6: Final answer
    x = 1,777.34

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