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Finding the Fourth Proportional to 2,226.15, 3,338.08 and 744.84

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Solution

The fourth proportional to 2,226.15, 3,338.08 and 744.84 is: 1,116.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.15 : 3,338.08 = 744.84 : x
  2. Step 2: Convert to fraction form
    2,226.15/3,338.08 = 744.84/x
  3. Step 3: Cross multiply
    2,226.15x = 3,338.08 × 744.84
  4. Step 4: Simplify right side
    2,226.15x = 2,486,333.65
  5. Step 5: Solve for x
    x = 2,486,333.65/2,226.15
  6. Step 6: Final answer
    x = 1,116.88

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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.