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Finding the Fourth Proportional to 3,178.92, 4,765.38 and 2,203.80

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Solution

The fourth proportional to 3,178.92, 4,765.38 and 2,203.80 is: 3,303.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.92 : 4,765.38 = 2,203.80 : x
  2. Step 2: Convert to fraction form
    3,178.92/4,765.38 = 2,203.80/x
  3. Step 3: Cross multiply
    3,178.92x = 4,765.38 × 2,203.80
  4. Step 4: Simplify right side
    3,178.92x = 10,501,944.44
  5. Step 5: Solve for x
    x = 10,501,944.44/3,178.92
  6. Step 6: Final answer
    x = 3,303.62

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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.