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Finding the Fourth Proportional to 3,141.12, 4,334.81 and 1,724.86

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Solution

The fourth proportional to 3,141.12, 4,334.81 and 1,724.86 is: 2,380.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.12 : 4,334.81 = 1,724.86 : x
  2. Step 2: Convert to fraction form
    3,141.12/4,334.81 = 1,724.86/x
  3. Step 3: Cross multiply
    3,141.12x = 4,334.81 × 1,724.86
  4. Step 4: Simplify right side
    3,141.12x = 7,476,940.38
  5. Step 5: Solve for x
    x = 7,476,940.38/3,141.12
  6. Step 6: Final answer
    x = 2,380.34

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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.