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Finding the Fourth Proportional to 1,580.82, 2,372.22 and 1,092.96

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Solution

The fourth proportional to 1,580.82, 2,372.22 and 1,092.96 is: 1,640.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.82 : 2,372.22 = 1,092.96 : x
  2. Step 2: Convert to fraction form
    1,580.82/2,372.22 = 1,092.96/x
  3. Step 3: Cross multiply
    1,580.82x = 2,372.22 × 1,092.96
  4. Step 4: Simplify right side
    1,580.82x = 2,592,741.57
  5. Step 5: Solve for x
    x = 2,592,741.57/1,580.82
  6. Step 6: Final answer
    x = 1,640.12

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