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Finding the Fourth Proportional to 2,266.12, 3,400.12 and 950.12

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Solution

The fourth proportional to 2,266.12, 3,400.12 and 950.12 is: 1,425.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.12 : 3,400.12 = 950.12 : x
  2. Step 2: Convert to fraction form
    2,266.12/3,400.12 = 950.12/x
  3. Step 3: Cross multiply
    2,266.12x = 3,400.12 × 950.12
  4. Step 4: Simplify right side
    2,266.12x = 3,230,505.01
  5. Step 5: Solve for x
    x = 3,230,505.01/2,266.12
  6. Step 6: Final answer
    x = 1,425.57

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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.