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Finding the Fourth Proportional to 3,212.77, 4,816.99 and 1,650.82

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Solution

The fourth proportional to 3,212.77, 4,816.99 and 1,650.82 is: 2,475.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.77 : 4,816.99 = 1,650.82 : x
  2. Step 2: Convert to fraction form
    3,212.77/4,816.99 = 1,650.82/x
  3. Step 3: Cross multiply
    3,212.77x = 4,816.99 × 1,650.82
  4. Step 4: Simplify right side
    3,212.77x = 7,951,951.09
  5. Step 5: Solve for x
    x = 7,951,951.09/3,212.77
  6. Step 6: Final answer
    x = 2,475.11

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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.