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Finding the Fourth Proportional to 2,781.64, 3,843.78 and 1,994.44

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Solution

The fourth proportional to 2,781.64, 3,843.78 and 1,994.44 is: 2,756.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.64 : 3,843.78 = 1,994.44 : x
  2. Step 2: Convert to fraction form
    2,781.64/3,843.78 = 1,994.44/x
  3. Step 3: Cross multiply
    2,781.64x = 3,843.78 × 1,994.44
  4. Step 4: Simplify right side
    2,781.64x = 7,666,188.58
  5. Step 5: Solve for x
    x = 7,666,188.58/2,781.64
  6. Step 6: Final answer
    x = 2,756.00

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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.