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Finding the Fourth Proportional to 1,823.41, 2,735.12 and 1,006.87

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Solution

The fourth proportional to 1,823.41, 2,735.12 and 1,006.87 is: 1,510.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.41 : 2,735.12 = 1,006.87 : x
  2. Step 2: Convert to fraction form
    1,823.41/2,735.12 = 1,006.87/x
  3. Step 3: Cross multiply
    1,823.41x = 2,735.12 × 1,006.87
  4. Step 4: Simplify right side
    1,823.41x = 2,753,910.27
  5. Step 5: Solve for x
    x = 2,753,910.27/1,823.41
  6. Step 6: Final answer
    x = 1,510.31

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