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Finding the Fourth Proportional to 2,219.82, 3,329.94 and 576.41

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Solution

The fourth proportional to 2,219.82, 3,329.94 and 576.41 is: 864.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.82 : 3,329.94 = 576.41 : x
  2. Step 2: Convert to fraction form
    2,219.82/3,329.94 = 576.41/x
  3. Step 3: Cross multiply
    2,219.82x = 3,329.94 × 576.41
  4. Step 4: Simplify right side
    2,219.82x = 1,919,394.07
  5. Step 5: Solve for x
    x = 1,919,394.07/2,219.82
  6. Step 6: Final answer
    x = 864.66

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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.