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Finding the Fourth Proportional to 3,450, 4,761.24 and 1,958.04

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Solution

The fourth proportional to 3,450, 4,761.24 and 1,958.04 is: 2,702.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450 : 4,761.24 = 1,958.04 : x
  2. Step 2: Convert to fraction form
    3,450/4,761.24 = 1,958.04/x
  3. Step 3: Cross multiply
    3,450x = 4,761.24 × 1,958.04
  4. Step 4: Simplify right side
    3,450x = 9,322,698.37
  5. Step 5: Solve for x
    x = 9,322,698.37/3,450
  6. Step 6: Final answer
    x = 2,702.23

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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.