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Finding the Fourth Proportional to 2,299.71, 3,451.27 and 1,684.99

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Solution

The fourth proportional to 2,299.71, 3,451.27 and 1,684.99 is: 2,528.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.71 : 3,451.27 = 1,684.99 : x
  2. Step 2: Convert to fraction form
    2,299.71/3,451.27 = 1,684.99/x
  3. Step 3: Cross multiply
    2,299.71x = 3,451.27 × 1,684.99
  4. Step 4: Simplify right side
    2,299.71x = 5,815,355.44
  5. Step 5: Solve for x
    x = 5,815,355.44/2,299.71
  6. Step 6: Final answer
    x = 2,528.73

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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.