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Finding the Fourth Proportional to 1,994.09, 2,751.78 and 1,109.87

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Solution

The fourth proportional to 1,994.09, 2,751.78 and 1,109.87 is: 1,531.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.09 : 2,751.78 = 1,109.87 : x
  2. Step 2: Convert to fraction form
    1,994.09/2,751.78 = 1,109.87/x
  3. Step 3: Cross multiply
    1,994.09x = 2,751.78 × 1,109.87
  4. Step 4: Simplify right side
    1,994.09x = 3,054,129.11
  5. Step 5: Solve for x
    x = 3,054,129.11/1,994.09
  6. Step 6: Final answer
    x = 1,531.59

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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.