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Finding the Fourth Proportional to 2,216.29, 3,322.65 and 1,229.08

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Solution

The fourth proportional to 2,216.29, 3,322.65 and 1,229.08 is: 1,842.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.29 : 3,322.65 = 1,229.08 : x
  2. Step 2: Convert to fraction form
    2,216.29/3,322.65 = 1,229.08/x
  3. Step 3: Cross multiply
    2,216.29x = 3,322.65 × 1,229.08
  4. Step 4: Simplify right side
    2,216.29x = 4,083,802.66
  5. Step 5: Solve for x
    x = 4,083,802.66/2,216.29
  6. Step 6: Final answer
    x = 1,842.63

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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.