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Finding the Fourth Proportional to 2,216.01, 3,057.98 and 1,221.09

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Solution

The fourth proportional to 2,216.01, 3,057.98 and 1,221.09 is: 1,685.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.01 : 3,057.98 = 1,221.09 : x
  2. Step 2: Convert to fraction form
    2,216.01/3,057.98 = 1,221.09/x
  3. Step 3: Cross multiply
    2,216.01x = 3,057.98 × 1,221.09
  4. Step 4: Simplify right side
    2,216.01x = 3,734,062.69
  5. Step 5: Solve for x
    x = 3,734,062.69/2,216.01
  6. Step 6: Final answer
    x = 1,685.04

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Why These Related Problems?

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