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Finding the Fourth Proportional to 3,284.25, 4,926.96 and 1,824.99

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Solution

The fourth proportional to 3,284.25, 4,926.96 and 1,824.99 is: 2,737.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284.25 : 4,926.96 = 1,824.99 : x
  2. Step 2: Convert to fraction form
    3,284.25/4,926.96 = 1,824.99/x
  3. Step 3: Cross multiply
    3,284.25x = 4,926.96 × 1,824.99
  4. Step 4: Simplify right side
    3,284.25x = 8,991,652.73
  5. Step 5: Solve for x
    x = 8,991,652.73/3,284.25
  6. Step 6: Final answer
    x = 2,737.81

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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.