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Finding the Fourth Proportional to 2,823.72, 4,235.41 and 849.31

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Solution

The fourth proportional to 2,823.72, 4,235.41 and 849.31 is: 1,273.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.72 : 4,235.41 = 849.31 : x
  2. Step 2: Convert to fraction form
    2,823.72/4,235.41 = 849.31/x
  3. Step 3: Cross multiply
    2,823.72x = 4,235.41 × 849.31
  4. Step 4: Simplify right side
    2,823.72x = 3,597,163.36
  5. Step 5: Solve for x
    x = 3,597,163.36/2,823.72
  6. Step 6: Final answer
    x = 1,273.91

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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.