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Finding the Fourth Proportional to 1,609.65, 2,414.48 and 1,287.06

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Solution

The fourth proportional to 1,609.65, 2,414.48 and 1,287.06 is: 1,930.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.65 : 2,414.48 = 1,287.06 : x
  2. Step 2: Convert to fraction form
    1,609.65/2,414.48 = 1,287.06/x
  3. Step 3: Cross multiply
    1,609.65x = 2,414.48 × 1,287.06
  4. Step 4: Simplify right side
    1,609.65x = 3,107,574.19
  5. Step 5: Solve for x
    x = 3,107,574.19/1,609.65
  6. Step 6: Final answer
    x = 1,930.59

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