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Finding the Fourth Proportional to 1,410.42, 2,109.69 and 1,213.86

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Solution

The fourth proportional to 1,410.42, 2,109.69 and 1,213.86 is: 1,815.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.42 : 2,109.69 = 1,213.86 : x
  2. Step 2: Convert to fraction form
    1,410.42/2,109.69 = 1,213.86/x
  3. Step 3: Cross multiply
    1,410.42x = 2,109.69 × 1,213.86
  4. Step 4: Simplify right side
    1,410.42x = 2,560,868.30
  5. Step 5: Solve for x
    x = 2,560,868.30/1,410.42
  6. Step 6: Final answer
    x = 1,815.68

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