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Finding the Fourth Proportional to 3,204.94, 4,423.24 and 1,879.16

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Solution

The fourth proportional to 3,204.94, 4,423.24 and 1,879.16 is: 2,593.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.94 : 4,423.24 = 1,879.16 : x
  2. Step 2: Convert to fraction form
    3,204.94/4,423.24 = 1,879.16/x
  3. Step 3: Cross multiply
    3,204.94x = 4,423.24 × 1,879.16
  4. Step 4: Simplify right side
    3,204.94x = 8,311,975.68
  5. Step 5: Solve for x
    x = 8,311,975.68/3,204.94
  6. Step 6: Final answer
    x = 2,593.49

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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.