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Finding the Fourth Proportional to 1,664.28, 2,296.49 and 1,001.30

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Solution

The fourth proportional to 1,664.28, 2,296.49 and 1,001.30 is: 1,381.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.28 : 2,296.49 = 1,001.30 : x
  2. Step 2: Convert to fraction form
    1,664.28/2,296.49 = 1,001.30/x
  3. Step 3: Cross multiply
    1,664.28x = 2,296.49 × 1,001.30
  4. Step 4: Simplify right side
    1,664.28x = 2,299,458.95
  5. Step 5: Solve for x
    x = 2,299,458.95/1,664.28
  6. Step 6: Final answer
    x = 1,381.65

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