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Finding the Fourth Proportional to 3,291.98, 4,939.92 and 1,213.44

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Solution

The fourth proportional to 3,291.98, 4,939.92 and 1,213.44 is: 1,820.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,291.98 : 4,939.92 = 1,213.44 : x
  2. Step 2: Convert to fraction form
    3,291.98/4,939.92 = 1,213.44/x
  3. Step 3: Cross multiply
    3,291.98x = 4,939.92 × 1,213.44
  4. Step 4: Simplify right side
    3,291.98x = 5,994,296.63
  5. Step 5: Solve for x
    x = 5,994,296.63/3,291.98
  6. Step 6: Final answer
    x = 1,820.88

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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.