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Finding the Fourth Proportional to 2,229.83, 3,344.29 and 1,396.49

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Solution

The fourth proportional to 2,229.83, 3,344.29 and 1,396.49 is: 2,094.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.83 : 3,344.29 = 1,396.49 : x
  2. Step 2: Convert to fraction form
    2,229.83/3,344.29 = 1,396.49/x
  3. Step 3: Cross multiply
    2,229.83x = 3,344.29 × 1,396.49
  4. Step 4: Simplify right side
    2,229.83x = 4,670,266.14
  5. Step 5: Solve for x
    x = 4,670,266.14/2,229.83
  6. Step 6: Final answer
    x = 2,094.45

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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.