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Finding the Fourth Proportional to 3,301.97, 4,952.64 and 1,221.98

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Solution

The fourth proportional to 3,301.97, 4,952.64 and 1,221.98 is: 1,832.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,301.97 : 4,952.64 = 1,221.98 : x
  2. Step 2: Convert to fraction form
    3,301.97/4,952.64 = 1,221.98/x
  3. Step 3: Cross multiply
    3,301.97x = 4,952.64 × 1,221.98
  4. Step 4: Simplify right side
    3,301.97x = 6,052,039.41
  5. Step 5: Solve for x
    x = 6,052,039.41/3,301.97
  6. Step 6: Final answer
    x = 1,832.86

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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.