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Finding the Fourth Proportional to 3,269.82, 4,512.84 and 2,093.70

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Solution

The fourth proportional to 3,269.82, 4,512.84 and 2,093.70 is: 2,889.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,269.82 : 4,512.84 = 2,093.70 : x
  2. Step 2: Convert to fraction form
    3,269.82/4,512.84 = 2,093.70/x
  3. Step 3: Cross multiply
    3,269.82x = 4,512.84 × 2,093.70
  4. Step 4: Simplify right side
    3,269.82x = 9,448,533.11
  5. Step 5: Solve for x
    x = 9,448,533.11/3,269.82
  6. Step 6: Final answer
    x = 2,889.62

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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.