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Finding the Fourth Proportional to 3,200.80, 4,416.78 and 2,965.64

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Solution

The fourth proportional to 3,200.80, 4,416.78 and 2,965.64 is: 4,092.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.80 : 4,416.78 = 2,965.64 : x
  2. Step 2: Convert to fraction form
    3,200.80/4,416.78 = 2,965.64/x
  3. Step 3: Cross multiply
    3,200.80x = 4,416.78 × 2,965.64
  4. Step 4: Simplify right side
    3,200.80x = 13,098,579.44
  5. Step 5: Solve for x
    x = 13,098,579.44/3,200.80
  6. Step 6: Final answer
    x = 4,092.28

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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.