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Finding the Fourth Proportional to 1,568.65, 2,353.74 and 1,109.38

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Solution

The fourth proportional to 1,568.65, 2,353.74 and 1,109.38 is: 1,664.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.65 : 2,353.74 = 1,109.38 : x
  2. Step 2: Convert to fraction form
    1,568.65/2,353.74 = 1,109.38/x
  3. Step 3: Cross multiply
    1,568.65x = 2,353.74 × 1,109.38
  4. Step 4: Simplify right side
    1,568.65x = 2,611,192.08
  5. Step 5: Solve for x
    x = 2,611,192.08/1,568.65
  6. Step 6: Final answer
    x = 1,664.61

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