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Finding the Fourth Proportional to 2,213.14, 3,319.88 and 896.27

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Solution

The fourth proportional to 2,213.14, 3,319.88 and 896.27 is: 1,344.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.14 : 3,319.88 = 896.27 : x
  2. Step 2: Convert to fraction form
    2,213.14/3,319.88 = 896.27/x
  3. Step 3: Cross multiply
    2,213.14x = 3,319.88 × 896.27
  4. Step 4: Simplify right side
    2,213.14x = 2,975,487.77
  5. Step 5: Solve for x
    x = 2,975,487.77/2,213.14
  6. Step 6: Final answer
    x = 1,344.47

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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.