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Finding the Fourth Proportional to 3,144.81, 4,718.70 and 2,226.27

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Solution

The fourth proportional to 3,144.81, 4,718.70 and 2,226.27 is: 3,340.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.81 : 4,718.70 = 2,226.27 : x
  2. Step 2: Convert to fraction form
    3,144.81/4,718.70 = 2,226.27/x
  3. Step 3: Cross multiply
    3,144.81x = 4,718.70 × 2,226.27
  4. Step 4: Simplify right side
    3,144.81x = 10,505,100.25
  5. Step 5: Solve for x
    x = 10,505,100.25/3,144.81
  6. Step 6: Final answer
    x = 3,340.46

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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.