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Finding the Fourth Proportional to 2,213.88, 3,320.93 and 897.83

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Solution

The fourth proportional to 2,213.88, 3,320.93 and 897.83 is: 1,346.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.88 : 3,320.93 = 897.83 : x
  2. Step 2: Convert to fraction form
    2,213.88/3,320.93 = 897.83/x
  3. Step 3: Cross multiply
    2,213.88x = 3,320.93 × 897.83
  4. Step 4: Simplify right side
    2,213.88x = 2,981,628.68
  5. Step 5: Solve for x
    x = 2,981,628.68/2,213.88
  6. Step 6: Final answer
    x = 1,346.79

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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.