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Finding the Fourth Proportional to 2,216.67, 3,324.69 and 882.47

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Solution

The fourth proportional to 2,216.67, 3,324.69 and 882.47 is: 1,323.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.67 : 3,324.69 = 882.47 : x
  2. Step 2: Convert to fraction form
    2,216.67/3,324.69 = 882.47/x
  3. Step 3: Cross multiply
    2,216.67x = 3,324.69 × 882.47
  4. Step 4: Simplify right side
    2,216.67x = 2,933,920.35
  5. Step 5: Solve for x
    x = 2,933,920.35/2,216.67
  6. Step 6: Final answer
    x = 1,323.57

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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.