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Finding the Fourth Proportional to 2,226.79, 3,338.63 and 976.78

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Solution

The fourth proportional to 2,226.79, 3,338.63 and 976.78 is: 1,464.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.79 : 3,338.63 = 976.78 : x
  2. Step 2: Convert to fraction form
    2,226.79/3,338.63 = 976.78/x
  3. Step 3: Cross multiply
    2,226.79x = 3,338.63 × 976.78
  4. Step 4: Simplify right side
    2,226.79x = 3,261,096.68
  5. Step 5: Solve for x
    x = 3,261,096.68/2,226.79
  6. Step 6: Final answer
    x = 1,464.48

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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.