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Finding the Fourth Proportional to 1,760.88, 2,643.84 and 1,566.48

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Solution

The fourth proportional to 1,760.88, 2,643.84 and 1,566.48 is: 2,351.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.88 : 2,643.84 = 1,566.48 : x
  2. Step 2: Convert to fraction form
    1,760.88/2,643.84 = 1,566.48/x
  3. Step 3: Cross multiply
    1,760.88x = 2,643.84 × 1,566.48
  4. Step 4: Simplify right side
    1,760.88x = 4,141,522.48
  5. Step 5: Solve for x
    x = 4,141,522.48/1,760.88
  6. Step 6: Final answer
    x = 2,351.96

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