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Finding the Fourth Proportional to 2,266.28, 3,400.79 and 2,122.30

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Solution

The fourth proportional to 2,266.28, 3,400.79 and 2,122.30 is: 3,184.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.28 : 3,400.79 = 2,122.30 : x
  2. Step 2: Convert to fraction form
    2,266.28/3,400.79 = 2,122.30/x
  3. Step 3: Cross multiply
    2,266.28x = 3,400.79 × 2,122.30
  4. Step 4: Simplify right side
    2,266.28x = 7,217,490.26
  5. Step 5: Solve for x
    x = 7,217,490.26/2,266.28
  6. Step 6: Final answer
    x = 3,184.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.