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Finding the Fourth Proportional to 2,217.69, 3,327.81 and 901.17

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Solution

The fourth proportional to 2,217.69, 3,327.81 and 901.17 is: 1,352.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,217.69 : 3,327.81 = 901.17 : x
  2. Step 2: Convert to fraction form
    2,217.69/3,327.81 = 901.17/x
  3. Step 3: Cross multiply
    2,217.69x = 3,327.81 × 901.17
  4. Step 4: Simplify right side
    2,217.69x = 2,998,922.54
  5. Step 5: Solve for x
    x = 2,998,922.54/2,217.69
  6. Step 6: Final answer
    x = 1,352.27

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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.