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Finding the Fourth Proportional to 1,906.23, 2,851.64 and 1,649.08

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Solution

The fourth proportional to 1,906.23, 2,851.64 and 1,649.08 is: 2,466.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.23 : 2,851.64 = 1,649.08 : x
  2. Step 2: Convert to fraction form
    1,906.23/2,851.64 = 1,649.08/x
  3. Step 3: Cross multiply
    1,906.23x = 2,851.64 × 1,649.08
  4. Step 4: Simplify right side
    1,906.23x = 4,702,582.49
  5. Step 5: Solve for x
    x = 4,702,582.49/1,906.23
  6. Step 6: Final answer
    x = 2,466.95

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