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Finding the Fourth Proportional to 2,381.78, 3,576.76 and 1,462.74

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Solution

The fourth proportional to 2,381.78, 3,576.76 and 1,462.74 is: 2,196.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.78 : 3,576.76 = 1,462.74 : x
  2. Step 2: Convert to fraction form
    2,381.78/3,576.76 = 1,462.74/x
  3. Step 3: Cross multiply
    2,381.78x = 3,576.76 × 1,462.74
  4. Step 4: Simplify right side
    2,381.78x = 5,231,869.92
  5. Step 5: Solve for x
    x = 5,231,869.92/2,381.78
  6. Step 6: Final answer
    x = 2,196.62

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