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Finding the Fourth Proportional to 3,379.66, 4,663.11 and 1,982.14

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Solution

The fourth proportional to 3,379.66, 4,663.11 and 1,982.14 is: 2,734.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,379.66 : 4,663.11 = 1,982.14 : x
  2. Step 2: Convert to fraction form
    3,379.66/4,663.11 = 1,982.14/x
  3. Step 3: Cross multiply
    3,379.66x = 4,663.11 × 1,982.14
  4. Step 4: Simplify right side
    3,379.66x = 9,242,936.86
  5. Step 5: Solve for x
    x = 9,242,936.86/3,379.66
  6. Step 6: Final answer
    x = 2,734.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.