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Finding the Fourth Proportional to 2,783.42, 3,834.60 and 1,942.62

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Solution

The fourth proportional to 2,783.42, 3,834.60 and 1,942.62 is: 2,676.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.42 : 3,834.60 = 1,942.62 : x
  2. Step 2: Convert to fraction form
    2,783.42/3,834.60 = 1,942.62/x
  3. Step 3: Cross multiply
    2,783.42x = 3,834.60 × 1,942.62
  4. Step 4: Simplify right side
    2,783.42x = 7,449,170.65
  5. Step 5: Solve for x
    x = 7,449,170.65/2,783.42
  6. Step 6: Final answer
    x = 2,676.27

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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.