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Finding the Fourth Proportional to 3,047.82, 4,206 and 1,721.61

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Solution

The fourth proportional to 3,047.82, 4,206 and 1,721.61 is: 2,375.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.82 : 4,206 = 1,721.61 : x
  2. Step 2: Convert to fraction form
    3,047.82/4,206 = 1,721.61/x
  3. Step 3: Cross multiply
    3,047.82x = 4,206 × 1,721.61
  4. Step 4: Simplify right side
    3,047.82x = 7,241,091.66
  5. Step 5: Solve for x
    x = 7,241,091.66/3,047.82
  6. Step 6: Final answer
    x = 2,375.83

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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.