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Finding the Fourth Proportional to 1,993.39, 2,751 and 1,109.23

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Solution

The fourth proportional to 1,993.39, 2,751 and 1,109.23 is: 1,530.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.39 : 2,751 = 1,109.23 : x
  2. Step 2: Convert to fraction form
    1,993.39/2,751 = 1,109.23/x
  3. Step 3: Cross multiply
    1,993.39x = 2,751 × 1,109.23
  4. Step 4: Simplify right side
    1,993.39x = 3,051,491.73
  5. Step 5: Solve for x
    x = 3,051,491.73/1,993.39
  6. Step 6: Final answer
    x = 1,530.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.