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Finding the Fourth Proportional to 2,655, 3,983.46 and 831

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Solution

The fourth proportional to 2,655, 3,983.46 and 831 is: 1,246.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655 : 3,983.46 = 831 : x
  2. Step 2: Convert to fraction form
    2,655/3,983.46 = 831/x
  3. Step 3: Cross multiply
    2,655x = 3,983.46 × 831
  4. Step 4: Simplify right side
    2,655x = 3,310,255.26
  5. Step 5: Solve for x
    x = 3,310,255.26/2,655
  6. Step 6: Final answer
    x = 1,246.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.