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Finding the Fourth Proportional to 3,022.97, 4,170.62 and 1,975.64

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Solution

The fourth proportional to 3,022.97, 4,170.62 and 1,975.64 is: 2,725.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.97 : 4,170.62 = 1,975.64 : x
  2. Step 2: Convert to fraction form
    3,022.97/4,170.62 = 1,975.64/x
  3. Step 3: Cross multiply
    3,022.97x = 4,170.62 × 1,975.64
  4. Step 4: Simplify right side
    3,022.97x = 8,239,627.78
  5. Step 5: Solve for x
    x = 8,239,627.78/3,022.97
  6. Step 6: Final answer
    x = 2,725.68

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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.