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Finding the Fourth Proportional to 2,216.69, 3,314.91 and 1,661.84

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Solution

The fourth proportional to 2,216.69, 3,314.91 and 1,661.84 is: 2,485.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.69 : 3,314.91 = 1,661.84 : x
  2. Step 2: Convert to fraction form
    2,216.69/3,314.91 = 1,661.84/x
  3. Step 3: Cross multiply
    2,216.69x = 3,314.91 × 1,661.84
  4. Step 4: Simplify right side
    2,216.69x = 5,508,850.03
  5. Step 5: Solve for x
    x = 5,508,850.03/2,216.69
  6. Step 6: Final answer
    x = 2,485.17

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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.