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Finding the Fourth Proportional to 2,614.72, 3,922.28 and 884.56

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Solution

The fourth proportional to 2,614.72, 3,922.28 and 884.56 is: 1,326.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.72 : 3,922.28 = 884.56 : x
  2. Step 2: Convert to fraction form
    2,614.72/3,922.28 = 884.56/x
  3. Step 3: Cross multiply
    2,614.72x = 3,922.28 × 884.56
  4. Step 4: Simplify right side
    2,614.72x = 3,469,492.00
  5. Step 5: Solve for x
    x = 3,469,492.00/2,614.72
  6. Step 6: Final answer
    x = 1,326.91

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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.