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Finding the Fourth Proportional to 1,892.23, 2,837.57 and 1,113.78

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Solution

The fourth proportional to 1,892.23, 2,837.57 and 1,113.78 is: 1,670.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.23 : 2,837.57 = 1,113.78 : x
  2. Step 2: Convert to fraction form
    1,892.23/2,837.57 = 1,113.78/x
  3. Step 3: Cross multiply
    1,892.23x = 2,837.57 × 1,113.78
  4. Step 4: Simplify right side
    1,892.23x = 3,160,433.79
  5. Step 5: Solve for x
    x = 3,160,433.79/1,892.23
  6. Step 6: Final answer
    x = 1,670.22

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