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Finding the Fourth Proportional to 3,380.64, 4,663.80 and 1,982.76

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Solution

The fourth proportional to 3,380.64, 4,663.80 and 1,982.76 is: 2,735.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.64 : 4,663.80 = 1,982.76 : x
  2. Step 2: Convert to fraction form
    3,380.64/4,663.80 = 1,982.76/x
  3. Step 3: Cross multiply
    3,380.64x = 4,663.80 × 1,982.76
  4. Step 4: Simplify right side
    3,380.64x = 9,247,196.09
  5. Step 5: Solve for x
    x = 9,247,196.09/3,380.64
  6. Step 6: Final answer
    x = 2,735.34

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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.