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Finding the Fourth Proportional to 2,276.49, 3,414.84 and 633

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Solution

The fourth proportional to 2,276.49, 3,414.84 and 633 is: 949.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.49 : 3,414.84 = 633 : x
  2. Step 2: Convert to fraction form
    2,276.49/3,414.84 = 633/x
  3. Step 3: Cross multiply
    2,276.49x = 3,414.84 × 633
  4. Step 4: Simplify right side
    2,276.49x = 2,161,593.72
  5. Step 5: Solve for x
    x = 2,161,593.72/2,276.49
  6. Step 6: Final answer
    x = 949.53

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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.