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Finding the Fourth Proportional to 2,229.39, 3,056.54 and 2,189.88

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Solution

The fourth proportional to 2,229.39, 3,056.54 and 2,189.88 is: 3,002.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.39 : 3,056.54 = 2,189.88 : x
  2. Step 2: Convert to fraction form
    2,229.39/3,056.54 = 2,189.88/x
  3. Step 3: Cross multiply
    2,229.39x = 3,056.54 × 2,189.88
  4. Step 4: Simplify right side
    2,229.39x = 6,693,444.87
  5. Step 5: Solve for x
    x = 6,693,444.87/2,229.39
  6. Step 6: Final answer
    x = 3,002.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.