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Finding the Fourth Proportional to 1,609.76, 2,414.66 and 1,090.79

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Solution

The fourth proportional to 1,609.76, 2,414.66 and 1,090.79 is: 1,636.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.76 : 2,414.66 = 1,090.79 : x
  2. Step 2: Convert to fraction form
    1,609.76/2,414.66 = 1,090.79/x
  3. Step 3: Cross multiply
    1,609.76x = 2,414.66 × 1,090.79
  4. Step 4: Simplify right side
    1,609.76x = 2,633,886.98
  5. Step 5: Solve for x
    x = 2,633,886.98/1,609.76
  6. Step 6: Final answer
    x = 1,636.20

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