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Finding the Fourth Proportional to 3,154.25, 4,352.81 and 1,975.97

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Solution

The fourth proportional to 3,154.25, 4,352.81 and 1,975.97 is: 2,726.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.25 : 4,352.81 = 1,975.97 : x
  2. Step 2: Convert to fraction form
    3,154.25/4,352.81 = 1,975.97/x
  3. Step 3: Cross multiply
    3,154.25x = 4,352.81 × 1,975.97
  4. Step 4: Simplify right side
    3,154.25x = 8,601,022.98
  5. Step 5: Solve for x
    x = 8,601,022.98/3,154.25
  6. Step 6: Final answer
    x = 2,726.80

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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.