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Finding the Fourth Proportional to 2,218.92, 3,062.09 and 1,224.24

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Solution

The fourth proportional to 2,218.92, 3,062.09 and 1,224.24 is: 1,689.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218.92 : 3,062.09 = 1,224.24 : x
  2. Step 2: Convert to fraction form
    2,218.92/3,062.09 = 1,224.24/x
  3. Step 3: Cross multiply
    2,218.92x = 3,062.09 × 1,224.24
  4. Step 4: Simplify right side
    2,218.92x = 3,748,726.94
  5. Step 5: Solve for x
    x = 3,748,726.94/2,218.92
  6. Step 6: Final answer
    x = 1,689.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.