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Finding the Fourth Proportional to 3,305.50, 4,954.56 and 1,663.48

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Solution

The fourth proportional to 3,305.50, 4,954.56 and 1,663.48 is: 2,493.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305.50 : 4,954.56 = 1,663.48 : x
  2. Step 2: Convert to fraction form
    3,305.50/4,954.56 = 1,663.48/x
  3. Step 3: Cross multiply
    3,305.50x = 4,954.56 × 1,663.48
  4. Step 4: Simplify right side
    3,305.50x = 8,241,811.47
  5. Step 5: Solve for x
    x = 8,241,811.47/3,305.50
  6. Step 6: Final answer
    x = 2,493.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.