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Finding the Fourth Proportional to 3,269.64, 4,509.96 and 2,092.20

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Solution

The fourth proportional to 3,269.64, 4,509.96 and 2,092.20 is: 2,885.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,269.64 : 4,509.96 = 2,092.20 : x
  2. Step 2: Convert to fraction form
    3,269.64/4,509.96 = 2,092.20/x
  3. Step 3: Cross multiply
    3,269.64x = 4,509.96 × 2,092.20
  4. Step 4: Simplify right side
    3,269.64x = 9,435,738.31
  5. Step 5: Solve for x
    x = 9,435,738.31/3,269.64
  6. Step 6: Final answer
    x = 2,885.86

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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.