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Finding the Fourth Proportional to 2,744.46, 4,120.47 and 2,336.22

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Solution

The fourth proportional to 2,744.46, 4,120.47 and 2,336.22 is: 3,507.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.46 : 4,120.47 = 2,336.22 : x
  2. Step 2: Convert to fraction form
    2,744.46/4,120.47 = 2,336.22/x
  3. Step 3: Cross multiply
    2,744.46x = 4,120.47 × 2,336.22
  4. Step 4: Simplify right side
    2,744.46x = 9,626,324.42
  5. Step 5: Solve for x
    x = 9,626,324.42/2,744.46
  6. Step 6: Final answer
    x = 3,507.55

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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.