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Finding the Fourth Proportional to 3,238.62, 4,470.39 and 2,245.22

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Solution

The fourth proportional to 3,238.62, 4,470.39 and 2,245.22 is: 3,099.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238.62 : 4,470.39 = 2,245.22 : x
  2. Step 2: Convert to fraction form
    3,238.62/4,470.39 = 2,245.22/x
  3. Step 3: Cross multiply
    3,238.62x = 4,470.39 × 2,245.22
  4. Step 4: Simplify right side
    3,238.62x = 10,037,003.45
  5. Step 5: Solve for x
    x = 10,037,003.45/3,238.62
  6. Step 6: Final answer
    x = 3,099.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.