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Finding the Fourth Proportional to 2,824.76, 4,236.24 and 1,181

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Solution

The fourth proportional to 2,824.76, 4,236.24 and 1,181 is: 1,771.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.76 : 4,236.24 = 1,181 : x
  2. Step 2: Convert to fraction form
    2,824.76/4,236.24 = 1,181/x
  3. Step 3: Cross multiply
    2,824.76x = 4,236.24 × 1,181
  4. Step 4: Simplify right side
    2,824.76x = 5,002,999.44
  5. Step 5: Solve for x
    x = 5,002,999.44/2,824.76
  6. Step 6: Final answer
    x = 1,771.12

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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.