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Finding the Fourth Proportional to 1,296.14, 1,942.58 and 1,021.14

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Solution

The fourth proportional to 1,296.14, 1,942.58 and 1,021.14 is: 1,530.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.14 : 1,942.58 = 1,021.14 : x
  2. Step 2: Convert to fraction form
    1,296.14/1,942.58 = 1,021.14/x
  3. Step 3: Cross multiply
    1,296.14x = 1,942.58 × 1,021.14
  4. Step 4: Simplify right side
    1,296.14x = 1,983,648.69
  5. Step 5: Solve for x
    x = 1,983,648.69/1,296.14
  6. Step 6: Final answer
    x = 1,530.43

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