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Finding the Fourth Proportional to 2,422.84, 3,634.26 and 1,270.84

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Solution

The fourth proportional to 2,422.84, 3,634.26 and 1,270.84 is: 1,906.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422.84 : 3,634.26 = 1,270.84 : x
  2. Step 2: Convert to fraction form
    2,422.84/3,634.26 = 1,270.84/x
  3. Step 3: Cross multiply
    2,422.84x = 3,634.26 × 1,270.84
  4. Step 4: Simplify right side
    2,422.84x = 4,618,562.98
  5. Step 5: Solve for x
    x = 4,618,562.98/2,422.84
  6. Step 6: Final answer
    x = 1,906.26

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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.