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Finding the Fourth Proportional to 3,260.64, 4,496.78 and 2,560.80

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Solution

The fourth proportional to 3,260.64, 4,496.78 and 2,560.80 is: 3,531.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,260.64 : 4,496.78 = 2,560.80 : x
  2. Step 2: Convert to fraction form
    3,260.64/4,496.78 = 2,560.80/x
  3. Step 3: Cross multiply
    3,260.64x = 4,496.78 × 2,560.80
  4. Step 4: Simplify right side
    3,260.64x = 11,515,354.22
  5. Step 5: Solve for x
    x = 11,515,354.22/3,260.64
  6. Step 6: Final answer
    x = 3,531.62

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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.