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Finding the Fourth Proportional to 3,208.27, 4,808.46 and 1,822.77

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Solution

The fourth proportional to 3,208.27, 4,808.46 and 1,822.77 is: 2,731.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.27 : 4,808.46 = 1,822.77 : x
  2. Step 2: Convert to fraction form
    3,208.27/4,808.46 = 1,822.77/x
  3. Step 3: Cross multiply
    3,208.27x = 4,808.46 × 1,822.77
  4. Step 4: Simplify right side
    3,208.27x = 8,764,716.63
  5. Step 5: Solve for x
    x = 8,764,716.63/3,208.27
  6. Step 6: Final answer
    x = 2,731.92

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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.