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Finding the Fourth Proportional to 2,722.75, 4,086.18 and 1,994.22

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Solution

The fourth proportional to 2,722.75, 4,086.18 and 1,994.22 is: 2,992.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.75 : 4,086.18 = 1,994.22 : x
  2. Step 2: Convert to fraction form
    2,722.75/4,086.18 = 1,994.22/x
  3. Step 3: Cross multiply
    2,722.75x = 4,086.18 × 1,994.22
  4. Step 4: Simplify right side
    2,722.75x = 8,148,741.88
  5. Step 5: Solve for x
    x = 8,148,741.88/2,722.75
  6. Step 6: Final answer
    x = 2,992.84

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