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Finding the Fourth Proportional to 2,274.26, 3,410.75 and 630.41

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Solution

The fourth proportional to 2,274.26, 3,410.75 and 630.41 is: 945.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.26 : 3,410.75 = 630.41 : x
  2. Step 2: Convert to fraction form
    2,274.26/3,410.75 = 630.41/x
  3. Step 3: Cross multiply
    2,274.26x = 3,410.75 × 630.41
  4. Step 4: Simplify right side
    2,274.26x = 2,150,155.43
  5. Step 5: Solve for x
    x = 2,150,155.43/2,274.26
  6. Step 6: Final answer
    x = 945.43

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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.