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Finding the Fourth Proportional to 2,276.63, 3,414.95 and 633.18

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Solution

The fourth proportional to 2,276.63, 3,414.95 and 633.18 is: 949.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.63 : 3,414.95 = 633.18 : x
  2. Step 2: Convert to fraction form
    2,276.63/3,414.95 = 633.18/x
  3. Step 3: Cross multiply
    2,276.63x = 3,414.95 × 633.18
  4. Step 4: Simplify right side
    2,276.63x = 2,162,257.80
  5. Step 5: Solve for x
    x = 2,162,257.80/2,276.63
  6. Step 6: Final answer
    x = 949.76

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1.5x scale

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.