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Finding the Fourth Proportional to 1,882.71, 2,823.10 and 1,102.88

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Solution

The fourth proportional to 1,882.71, 2,823.10 and 1,102.88 is: 1,653.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.71 : 2,823.10 = 1,102.88 : x
  2. Step 2: Convert to fraction form
    1,882.71/2,823.10 = 1,102.88/x
  3. Step 3: Cross multiply
    1,882.71x = 2,823.10 × 1,102.88
  4. Step 4: Simplify right side
    1,882.71x = 3,113,540.53
  5. Step 5: Solve for x
    x = 3,113,540.53/1,882.71
  6. Step 6: Final answer
    x = 1,653.75

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