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Finding the Fourth Proportional to 2,214.05, 3,321.07 and 897.78

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Solution

The fourth proportional to 2,214.05, 3,321.07 and 897.78 is: 1,346.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.05 : 3,321.07 = 897.78 : x
  2. Step 2: Convert to fraction form
    2,214.05/3,321.07 = 897.78/x
  3. Step 3: Cross multiply
    2,214.05x = 3,321.07 × 897.78
  4. Step 4: Simplify right side
    2,214.05x = 2,981,600.43
  5. Step 5: Solve for x
    x = 2,981,600.43/2,214.05
  6. Step 6: Final answer
    x = 1,346.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.