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Finding the Fourth Proportional to 3,057.84, 4,217.49 and 2,008.08

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Solution

The fourth proportional to 3,057.84, 4,217.49 and 2,008.08 is: 2,769.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.84 : 4,217.49 = 2,008.08 : x
  2. Step 2: Convert to fraction form
    3,057.84/4,217.49 = 2,008.08/x
  3. Step 3: Cross multiply
    3,057.84x = 4,217.49 × 2,008.08
  4. Step 4: Simplify right side
    3,057.84x = 8,469,057.32
  5. Step 5: Solve for x
    x = 8,469,057.32/3,057.84
  6. Step 6: Final answer
    x = 2,769.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.