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Finding the Fourth Proportional to 2,847.86, 3,931.58 and 1,968.38

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Solution

The fourth proportional to 2,847.86, 3,931.58 and 1,968.38 is: 2,717.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.86 : 3,931.58 = 1,968.38 : x
  2. Step 2: Convert to fraction form
    2,847.86/3,931.58 = 1,968.38/x
  3. Step 3: Cross multiply
    2,847.86x = 3,931.58 × 1,968.38
  4. Step 4: Simplify right side
    2,847.86x = 7,738,843.44
  5. Step 5: Solve for x
    x = 7,738,843.44/2,847.86
  6. Step 6: Final answer
    x = 2,717.42

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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.