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Finding the Fourth Proportional to 1,165.56, 1,741.91 and 1,098.12

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Solution

The fourth proportional to 1,165.56, 1,741.91 and 1,098.12 is: 1,641.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.56 : 1,741.91 = 1,098.12 : x
  2. Step 2: Convert to fraction form
    1,165.56/1,741.91 = 1,098.12/x
  3. Step 3: Cross multiply
    1,165.56x = 1,741.91 × 1,098.12
  4. Step 4: Simplify right side
    1,165.56x = 1,912,827.25
  5. Step 5: Solve for x
    x = 1,912,827.25/1,165.56
  6. Step 6: Final answer
    x = 1,641.13

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