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Finding the Fourth Proportional to 2,213.99, 3,320.17 and 964.43

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Solution

The fourth proportional to 2,213.99, 3,320.17 and 964.43 is: 1,446.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.99 : 3,320.17 = 964.43 : x
  2. Step 2: Convert to fraction form
    2,213.99/3,320.17 = 964.43/x
  3. Step 3: Cross multiply
    2,213.99x = 3,320.17 × 964.43
  4. Step 4: Simplify right side
    2,213.99x = 3,202,071.55
  5. Step 5: Solve for x
    x = 3,202,071.55/2,213.99
  6. Step 6: Final answer
    x = 1,446.29

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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.