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Finding the Fourth Proportional to 3,049.34, 4,208.04 and 1,652.09

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Solution

The fourth proportional to 3,049.34, 4,208.04 and 1,652.09 is: 2,279.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.34 : 4,208.04 = 1,652.09 : x
  2. Step 2: Convert to fraction form
    3,049.34/4,208.04 = 1,652.09/x
  3. Step 3: Cross multiply
    3,049.34x = 4,208.04 × 1,652.09
  4. Step 4: Simplify right side
    3,049.34x = 6,952,039.76
  5. Step 5: Solve for x
    x = 6,952,039.76/3,049.34
  6. Step 6: Final answer
    x = 2,279.85

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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.