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Finding the Fourth Proportional to 2,266.26, 3,399.91 and 622.94

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Solution

The fourth proportional to 2,266.26, 3,399.91 and 622.94 is: 934.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.26 : 3,399.91 = 622.94 : x
  2. Step 2: Convert to fraction form
    2,266.26/3,399.91 = 622.94/x
  3. Step 3: Cross multiply
    2,266.26x = 3,399.91 × 622.94
  4. Step 4: Simplify right side
    2,266.26x = 2,117,940.50
  5. Step 5: Solve for x
    x = 2,117,940.50/2,266.26
  6. Step 6: Final answer
    x = 934.55

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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.