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Finding the Fourth Proportional to 2,266.14, 3,399.12 and 622.86

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Solution

The fourth proportional to 2,266.14, 3,399.12 and 622.86 is: 934.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.14 : 3,399.12 = 622.86 : x
  2. Step 2: Convert to fraction form
    2,266.14/3,399.12 = 622.86/x
  3. Step 3: Cross multiply
    2,266.14x = 3,399.12 × 622.86
  4. Step 4: Simplify right side
    2,266.14x = 2,117,175.88
  5. Step 5: Solve for x
    x = 2,117,175.88/2,266.14
  6. Step 6: Final answer
    x = 934.27

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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.