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Finding the Fourth Proportional to 2,227.72, 3,338.38 and 976.81

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Solution

The fourth proportional to 2,227.72, 3,338.38 and 976.81 is: 1,463.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.72 : 3,338.38 = 976.81 : x
  2. Step 2: Convert to fraction form
    2,227.72/3,338.38 = 976.81/x
  3. Step 3: Cross multiply
    2,227.72x = 3,338.38 × 976.81
  4. Step 4: Simplify right side
    2,227.72x = 3,260,946.28
  5. Step 5: Solve for x
    x = 3,260,946.28/2,227.72
  6. Step 6: Final answer
    x = 1,463.80

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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.