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Finding the Fourth Proportional to 3,208.80, 4,812.24 and 2,560.80

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Solution

The fourth proportional to 3,208.80, 4,812.24 and 2,560.80 is: 3,840.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.80 : 4,812.24 = 2,560.80 : x
  2. Step 2: Convert to fraction form
    3,208.80/4,812.24 = 2,560.80/x
  3. Step 3: Cross multiply
    3,208.80x = 4,812.24 × 2,560.80
  4. Step 4: Simplify right side
    3,208.80x = 12,323,184.19
  5. Step 5: Solve for x
    x = 12,323,184.19/3,208.80
  6. Step 6: Final answer
    x = 3,840.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.