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Finding the Fourth Proportional to 2,115.31, 3,173.87 and 882.96

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Solution

The fourth proportional to 2,115.31, 3,173.87 and 882.96 is: 1,324.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.31 : 3,173.87 = 882.96 : x
  2. Step 2: Convert to fraction form
    2,115.31/3,173.87 = 882.96/x
  3. Step 3: Cross multiply
    2,115.31x = 3,173.87 × 882.96
  4. Step 4: Simplify right side
    2,115.31x = 2,802,379.97
  5. Step 5: Solve for x
    x = 2,802,379.97/2,115.31
  6. Step 6: Final answer
    x = 1,324.81

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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.