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Finding the Fourth Proportional to 3,049.94, 4,209.11 and 1,723.56

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Solution

The fourth proportional to 3,049.94, 4,209.11 and 1,723.56 is: 2,378.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.94 : 4,209.11 = 1,723.56 : x
  2. Step 2: Convert to fraction form
    3,049.94/4,209.11 = 1,723.56/x
  3. Step 3: Cross multiply
    3,049.94x = 4,209.11 × 1,723.56
  4. Step 4: Simplify right side
    3,049.94x = 7,254,645.01
  5. Step 5: Solve for x
    x = 7,254,645.01/3,049.94
  6. Step 6: Final answer
    x = 2,378.62

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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.