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Finding the Fourth Proportional to 1,165.85, 1,748.77 and 1,094.57

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Solution

The fourth proportional to 1,165.85, 1,748.77 and 1,094.57 is: 1,641.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.85 : 1,748.77 = 1,094.57 : x
  2. Step 2: Convert to fraction form
    1,165.85/1,748.77 = 1,094.57/x
  3. Step 3: Cross multiply
    1,165.85x = 1,748.77 × 1,094.57
  4. Step 4: Simplify right side
    1,165.85x = 1,914,151.18
  5. Step 5: Solve for x
    x = 1,914,151.18/1,165.85
  6. Step 6: Final answer
    x = 1,641.85

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