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Finding the Fourth Proportional to 1,993.74, 2,751.54 and 1,109.74

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Solution

The fourth proportional to 1,993.74, 2,751.54 and 1,109.74 is: 1,531.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.74 : 2,751.54 = 1,109.74 : x
  2. Step 2: Convert to fraction form
    1,993.74/2,751.54 = 1,109.74/x
  3. Step 3: Cross multiply
    1,993.74x = 2,751.54 × 1,109.74
  4. Step 4: Simplify right side
    1,993.74x = 3,053,494.00
  5. Step 5: Solve for x
    x = 3,053,494.00/1,993.74
  6. Step 6: Final answer
    x = 1,531.54

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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.