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Finding the Fourth Proportional to 1,994.00, 2,751.59 and 1,109.78

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Solution

The fourth proportional to 1,994.00, 2,751.59 and 1,109.78 is: 1,531.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.00 : 2,751.59 = 1,109.78 : x
  2. Step 2: Convert to fraction form
    1,994.00/2,751.59 = 1,109.78/x
  3. Step 3: Cross multiply
    1,994.00x = 2,751.59 × 1,109.78
  4. Step 4: Simplify right side
    1,994.00x = 3,053,640.24
  5. Step 5: Solve for x
    x = 3,053,640.24/1,994.00
  6. Step 6: Final answer
    x = 1,531.42

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