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Finding the Fourth Proportional to 3,379.18, 4,663.71 and 1,982.06

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Solution

The fourth proportional to 3,379.18, 4,663.71 and 1,982.06 is: 2,735.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,379.18 : 4,663.71 = 1,982.06 : x
  2. Step 2: Convert to fraction form
    3,379.18/4,663.71 = 1,982.06/x
  3. Step 3: Cross multiply
    3,379.18x = 4,663.71 × 1,982.06
  4. Step 4: Simplify right side
    3,379.18x = 9,243,753.04
  5. Step 5: Solve for x
    x = 9,243,753.04/3,379.18
  6. Step 6: Final answer
    x = 2,735.50

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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.