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Finding the Fourth Proportional to 2,276.66, 3,414.78 and 633.29

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Solution

The fourth proportional to 2,276.66, 3,414.78 and 633.29 is: 949.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.66 : 3,414.78 = 633.29 : x
  2. Step 2: Convert to fraction form
    2,276.66/3,414.78 = 633.29/x
  3. Step 3: Cross multiply
    2,276.66x = 3,414.78 × 633.29
  4. Step 4: Simplify right side
    2,276.66x = 2,162,528.95
  5. Step 5: Solve for x
    x = 2,162,528.95/2,276.66
  6. Step 6: Final answer
    x = 949.87

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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.