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Finding the Fourth Proportional to 2,216.87, 3,316.95 and 1,324.09

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Solution

The fourth proportional to 2,216.87, 3,316.95 and 1,324.09 is: 1,981.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.87 : 3,316.95 = 1,324.09 : x
  2. Step 2: Convert to fraction form
    2,216.87/3,316.95 = 1,324.09/x
  3. Step 3: Cross multiply
    2,216.87x = 3,316.95 × 1,324.09
  4. Step 4: Simplify right side
    2,216.87x = 4,391,944.47
  5. Step 5: Solve for x
    x = 4,391,944.47/2,216.87
  6. Step 6: Final answer
    x = 1,981.15

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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.