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Finding the Fourth Proportional to 2,206.05, 3,309.23 and 744.69

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Solution

The fourth proportional to 2,206.05, 3,309.23 and 744.69 is: 1,117.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.05 : 3,309.23 = 744.69 : x
  2. Step 2: Convert to fraction form
    2,206.05/3,309.23 = 744.69/x
  3. Step 3: Cross multiply
    2,206.05x = 3,309.23 × 744.69
  4. Step 4: Simplify right side
    2,206.05x = 2,464,346.77
  5. Step 5: Solve for x
    x = 2,464,346.77/2,206.05
  6. Step 6: Final answer
    x = 1,117.09

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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.