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Finding the Fourth Proportional to 2,276.34, 3,414.69 and 633.03

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Solution

The fourth proportional to 2,276.34, 3,414.69 and 633.03 is: 949.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.34 : 3,414.69 = 633.03 : x
  2. Step 2: Convert to fraction form
    2,276.34/3,414.69 = 633.03/x
  3. Step 3: Cross multiply
    2,276.34x = 3,414.69 × 633.03
  4. Step 4: Simplify right side
    2,276.34x = 2,161,601.21
  5. Step 5: Solve for x
    x = 2,161,601.21/2,276.34
  6. Step 6: Final answer
    x = 949.60

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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.