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Finding the Fourth Proportional to 3,049.61, 4,208.52 and 1,723.38

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Solution

The fourth proportional to 3,049.61, 4,208.52 and 1,723.38 is: 2,378.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.61 : 4,208.52 = 1,723.38 : x
  2. Step 2: Convert to fraction form
    3,049.61/4,208.52 = 1,723.38/x
  3. Step 3: Cross multiply
    3,049.61x = 4,208.52 × 1,723.38
  4. Step 4: Simplify right side
    3,049.61x = 7,252,879.20
  5. Step 5: Solve for x
    x = 7,252,879.20/3,049.61
  6. Step 6: Final answer
    x = 2,378.30

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Why These Related Problems?

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