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Finding the Fourth Proportional to 1,766.80, 2,643.90 and 1,538.20

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Solution

The fourth proportional to 1,766.80, 2,643.90 and 1,538.20 is: 2,301.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.80 : 2,643.90 = 1,538.20 : x
  2. Step 2: Convert to fraction form
    1,766.80/2,643.90 = 1,538.20/x
  3. Step 3: Cross multiply
    1,766.80x = 2,643.90 × 1,538.20
  4. Step 4: Simplify right side
    1,766.80x = 4,066,846.98
  5. Step 5: Solve for x
    x = 4,066,846.98/1,766.80
  6. Step 6: Final answer
    x = 2,301.82

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