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Finding the Fourth Proportional to 3,220.86, 4,833.15 and 1,740.09

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Solution

The fourth proportional to 3,220.86, 4,833.15 and 1,740.09 is: 2,611.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220.86 : 4,833.15 = 1,740.09 : x
  2. Step 2: Convert to fraction form
    3,220.86/4,833.15 = 1,740.09/x
  3. Step 3: Cross multiply
    3,220.86x = 4,833.15 × 1,740.09
  4. Step 4: Simplify right side
    3,220.86x = 8,410,115.98
  5. Step 5: Solve for x
    x = 8,410,115.98/3,220.86
  6. Step 6: Final answer
    x = 2,611.14

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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.