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Finding the Fourth Proportional to 2,725.74, 4,086.18 and 1,994.31

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Solution

The fourth proportional to 2,725.74, 4,086.18 and 1,994.31 is: 2,989.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.74 : 4,086.18 = 1,994.31 : x
  2. Step 2: Convert to fraction form
    2,725.74/4,086.18 = 1,994.31/x
  3. Step 3: Cross multiply
    2,725.74x = 4,086.18 × 1,994.31
  4. Step 4: Simplify right side
    2,725.74x = 8,149,109.64
  5. Step 5: Solve for x
    x = 8,149,109.64/2,725.74
  6. Step 6: Final answer
    x = 2,989.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.