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Finding the Fourth Proportional to 2,262.63, 3,394.47 and 1,827.80

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Solution

The fourth proportional to 2,262.63, 3,394.47 and 1,827.80 is: 2,742.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.63 : 3,394.47 = 1,827.80 : x
  2. Step 2: Convert to fraction form
    2,262.63/3,394.47 = 1,827.80/x
  3. Step 3: Cross multiply
    2,262.63x = 3,394.47 × 1,827.80
  4. Step 4: Simplify right side
    2,262.63x = 6,204,414.88
  5. Step 5: Solve for x
    x = 6,204,414.88/2,262.63
  6. Step 6: Final answer
    x = 2,742.12

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