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Finding the Fourth Proportional to 1,159.90, 1,736.80 and 1,092.46

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Solution

The fourth proportional to 1,159.90, 1,736.80 and 1,092.46 is: 1,635.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.90 : 1,736.80 = 1,092.46 : x
  2. Step 2: Convert to fraction form
    1,159.90/1,736.80 = 1,092.46/x
  3. Step 3: Cross multiply
    1,159.90x = 1,736.80 × 1,092.46
  4. Step 4: Simplify right side
    1,159.90x = 1,897,384.53
  5. Step 5: Solve for x
    x = 1,897,384.53/1,159.90
  6. Step 6: Final answer
    x = 1,635.82

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