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Finding the Fourth Proportional to 3,001.82, 4,142.11 and 1,742.68

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Solution

The fourth proportional to 3,001.82, 4,142.11 and 1,742.68 is: 2,404.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.82 : 4,142.11 = 1,742.68 : x
  2. Step 2: Convert to fraction form
    3,001.82/4,142.11 = 1,742.68/x
  3. Step 3: Cross multiply
    3,001.82x = 4,142.11 × 1,742.68
  4. Step 4: Simplify right side
    3,001.82x = 7,218,353.19
  5. Step 5: Solve for x
    x = 7,218,353.19/3,001.82
  6. Step 6: Final answer
    x = 2,404.66

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