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Finding the Fourth Proportional to 1,882.63, 2,824.49 and 1,142.83

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Solution

The fourth proportional to 1,882.63, 2,824.49 and 1,142.83 is: 1,714.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.63 : 2,824.49 = 1,142.83 : x
  2. Step 2: Convert to fraction form
    1,882.63/2,824.49 = 1,142.83/x
  3. Step 3: Cross multiply
    1,882.63x = 2,824.49 × 1,142.83
  4. Step 4: Simplify right side
    1,882.63x = 3,227,911.91
  5. Step 5: Solve for x
    x = 3,227,911.91/1,882.63
  6. Step 6: Final answer
    x = 1,714.58

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