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Finding the Fourth Proportional to 2,266.56, 3,400.92 and 2,153.88

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Solution

The fourth proportional to 2,266.56, 3,400.92 and 2,153.88 is: 3,231.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.56 : 3,400.92 = 2,153.88 : x
  2. Step 2: Convert to fraction form
    2,266.56/3,400.92 = 2,153.88/x
  3. Step 3: Cross multiply
    2,266.56x = 3,400.92 × 2,153.88
  4. Step 4: Simplify right side
    2,266.56x = 7,325,173.57
  5. Step 5: Solve for x
    x = 7,325,173.57/2,266.56
  6. Step 6: Final answer
    x = 3,231.85

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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.