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Finding the Fourth Proportional to 1,742.80, 2,608.08 and 1,191.28

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Solution

The fourth proportional to 1,742.80, 2,608.08 and 1,191.28 is: 1,782.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.80 : 2,608.08 = 1,191.28 : x
  2. Step 2: Convert to fraction form
    1,742.80/2,608.08 = 1,191.28/x
  3. Step 3: Cross multiply
    1,742.80x = 2,608.08 × 1,191.28
  4. Step 4: Simplify right side
    1,742.80x = 3,106,953.54
  5. Step 5: Solve for x
    x = 3,106,953.54/1,742.80
  6. Step 6: Final answer
    x = 1,782.74

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