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Finding the Fourth Proportional to 2,824.80, 4,234.72 and 1,093.12

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Solution

The fourth proportional to 2,824.80, 4,234.72 and 1,093.12 is: 1,638.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.80 : 4,234.72 = 1,093.12 : x
  2. Step 2: Convert to fraction form
    2,824.80/4,234.72 = 1,093.12/x
  3. Step 3: Cross multiply
    2,824.80x = 4,234.72 × 1,093.12
  4. Step 4: Simplify right side
    2,824.80x = 4,629,057.13
  5. Step 5: Solve for x
    x = 4,629,057.13/2,824.80
  6. Step 6: Final answer
    x = 1,638.72

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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.