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Finding the Fourth Proportional to 3,049.30, 4,208.04 and 1,652.05

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Solution

The fourth proportional to 3,049.30, 4,208.04 and 1,652.05 is: 2,279.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.30 : 4,208.04 = 1,652.05 : x
  2. Step 2: Convert to fraction form
    3,049.30/4,208.04 = 1,652.05/x
  3. Step 3: Cross multiply
    3,049.30x = 4,208.04 × 1,652.05
  4. Step 4: Simplify right side
    3,049.30x = 6,951,871.44
  5. Step 5: Solve for x
    x = 6,951,871.44/3,049.30
  6. Step 6: Final answer
    x = 2,279.83

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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.