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Finding the Fourth Proportional to 2,227.96, 3,336.54 and 1,361.08

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Solution

The fourth proportional to 2,227.96, 3,336.54 and 1,361.08 is: 2,038.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.96 : 3,336.54 = 1,361.08 : x
  2. Step 2: Convert to fraction form
    2,227.96/3,336.54 = 1,361.08/x
  3. Step 3: Cross multiply
    2,227.96x = 3,336.54 × 1,361.08
  4. Step 4: Simplify right side
    2,227.96x = 4,541,297.86
  5. Step 5: Solve for x
    x = 4,541,297.86/2,227.96
  6. Step 6: Final answer
    x = 2,038.32

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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.