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Finding the Fourth Proportional to 2,216.84, 3,324.88 and 756

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Solution

The fourth proportional to 2,216.84, 3,324.88 and 756 is: 1,133.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.84 : 3,324.88 = 756 : x
  2. Step 2: Convert to fraction form
    2,216.84/3,324.88 = 756/x
  3. Step 3: Cross multiply
    2,216.84x = 3,324.88 × 756
  4. Step 4: Simplify right side
    2,216.84x = 2,513,609.28
  5. Step 5: Solve for x
    x = 2,513,609.28/2,216.84
  6. Step 6: Final answer
    x = 1,133.87

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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.