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Finding the Fourth Proportional to 2,216.92, 3,324.34 and 1,178.14

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Solution

The fourth proportional to 2,216.92, 3,324.34 and 1,178.14 is: 1,766.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.92 : 3,324.34 = 1,178.14 : x
  2. Step 2: Convert to fraction form
    2,216.92/3,324.34 = 1,178.14/x
  3. Step 3: Cross multiply
    2,216.92x = 3,324.34 × 1,178.14
  4. Step 4: Simplify right side
    2,216.92x = 3,916,537.93
  5. Step 5: Solve for x
    x = 3,916,537.93/2,216.92
  6. Step 6: Final answer
    x = 1,766.66

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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.