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Finding the Fourth Proportional to 3,102.82, 4,652.17 and 2,179.49

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Solution

The fourth proportional to 3,102.82, 4,652.17 and 2,179.49 is: 3,267.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.82 : 4,652.17 = 2,179.49 : x
  2. Step 2: Convert to fraction form
    3,102.82/4,652.17 = 2,179.49/x
  3. Step 3: Cross multiply
    3,102.82x = 4,652.17 × 2,179.49
  4. Step 4: Simplify right side
    3,102.82x = 10,139,329.28
  5. Step 5: Solve for x
    x = 10,139,329.28/3,102.82
  6. Step 6: Final answer
    x = 3,267.78

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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.