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Finding the Fourth Proportional to 2,219.97, 3,330 and 576.42

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Solution

The fourth proportional to 2,219.97, 3,330 and 576.42 is: 864.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.97 : 3,330 = 576.42 : x
  2. Step 2: Convert to fraction form
    2,219.97/3,330 = 576.42/x
  3. Step 3: Cross multiply
    2,219.97x = 3,330 × 576.42
  4. Step 4: Simplify right side
    2,219.97x = 1,919,478.60
  5. Step 5: Solve for x
    x = 1,919,478.60/2,219.97
  6. Step 6: Final answer
    x = 864.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.