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Finding the Fourth Proportional to 1,881.64, 2,823.40 and 1,422.22

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Solution

The fourth proportional to 1,881.64, 2,823.40 and 1,422.22 is: 2,134.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.64 : 2,823.40 = 1,422.22 : x
  2. Step 2: Convert to fraction form
    1,881.64/2,823.40 = 1,422.22/x
  3. Step 3: Cross multiply
    1,881.64x = 2,823.40 × 1,422.22
  4. Step 4: Simplify right side
    1,881.64x = 4,015,495.95
  5. Step 5: Solve for x
    x = 4,015,495.95/1,881.64
  6. Step 6: Final answer
    x = 2,134.04

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