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Finding the Fourth Proportional to 1,892.84, 2,837.43 and 1,162.62

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Solution

The fourth proportional to 1,892.84, 2,837.43 and 1,162.62 is: 1,742.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.84 : 2,837.43 = 1,162.62 : x
  2. Step 2: Convert to fraction form
    1,892.84/2,837.43 = 1,162.62/x
  3. Step 3: Cross multiply
    1,892.84x = 2,837.43 × 1,162.62
  4. Step 4: Simplify right side
    1,892.84x = 3,298,852.87
  5. Step 5: Solve for x
    x = 3,298,852.87/1,892.84
  6. Step 6: Final answer
    x = 1,742.81

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