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Finding the Fourth Proportional to 3,204.72, 4,809.90 and 1,818.78

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Solution

The fourth proportional to 3,204.72, 4,809.90 and 1,818.78 is: 2,729.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.72 : 4,809.90 = 1,818.78 : x
  2. Step 2: Convert to fraction form
    3,204.72/4,809.90 = 1,818.78/x
  3. Step 3: Cross multiply
    3,204.72x = 4,809.90 × 1,818.78
  4. Step 4: Simplify right side
    3,204.72x = 8,748,149.92
  5. Step 5: Solve for x
    x = 8,748,149.92/3,204.72
  6. Step 6: Final answer
    x = 2,729.77

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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.