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Finding the Fourth Proportional to 3,243.30, 4,473 and 2,063.94

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Solution

The fourth proportional to 3,243.30, 4,473 and 2,063.94 is: 2,846.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243.30 : 4,473 = 2,063.94 : x
  2. Step 2: Convert to fraction form
    3,243.30/4,473 = 2,063.94/x
  3. Step 3: Cross multiply
    3,243.30x = 4,473 × 2,063.94
  4. Step 4: Simplify right side
    3,243.30x = 9,232,003.62
  5. Step 5: Solve for x
    x = 9,232,003.62/3,243.30
  6. Step 6: Final answer
    x = 2,846.48

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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.