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Finding the Fourth Proportional to 2,213.75, 3,320.69 and 674.75

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Solution

The fourth proportional to 2,213.75, 3,320.69 and 674.75 is: 1,012.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.75 : 3,320.69 = 674.75 : x
  2. Step 2: Convert to fraction form
    2,213.75/3,320.69 = 674.75/x
  3. Step 3: Cross multiply
    2,213.75x = 3,320.69 × 674.75
  4. Step 4: Simplify right side
    2,213.75x = 2,240,635.58
  5. Step 5: Solve for x
    x = 2,240,635.58/2,213.75
  6. Step 6: Final answer
    x = 1,012.14

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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.