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Finding the Fourth Proportional to 3,049.80, 4,208.49 and 1,723.62

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Solution

The fourth proportional to 3,049.80, 4,208.49 and 1,723.62 is: 2,378.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.80 : 4,208.49 = 1,723.62 : x
  2. Step 2: Convert to fraction form
    3,049.80/4,208.49 = 1,723.62/x
  3. Step 3: Cross multiply
    3,049.80x = 4,208.49 × 1,723.62
  4. Step 4: Simplify right side
    3,049.80x = 7,253,837.53
  5. Step 5: Solve for x
    x = 7,253,837.53/3,049.80
  6. Step 6: Final answer
    x = 2,378.46

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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.