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Finding the Fourth Proportional to 1,827.22, 2,522.88 and 1,649.84

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Solution

The fourth proportional to 1,827.22, 2,522.88 and 1,649.84 is: 2,277.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.22 : 2,522.88 = 1,649.84 : x
  2. Step 2: Convert to fraction form
    1,827.22/2,522.88 = 1,649.84/x
  3. Step 3: Cross multiply
    1,827.22x = 2,522.88 × 1,649.84
  4. Step 4: Simplify right side
    1,827.22x = 4,162,348.34
  5. Step 5: Solve for x
    x = 4,162,348.34/1,827.22
  6. Step 6: Final answer
    x = 2,277.97

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