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Finding the Fourth Proportional to 3,218.12, 4,441.84 and 1,821.68

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Solution

The fourth proportional to 3,218.12, 4,441.84 and 1,821.68 is: 2,514.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,218.12 : 4,441.84 = 1,821.68 : x
  2. Step 2: Convert to fraction form
    3,218.12/4,441.84 = 1,821.68/x
  3. Step 3: Cross multiply
    3,218.12x = 4,441.84 × 1,821.68
  4. Step 4: Simplify right side
    3,218.12x = 8,091,611.09
  5. Step 5: Solve for x
    x = 8,091,611.09/3,218.12
  6. Step 6: Final answer
    x = 2,514.39

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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.