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Finding the Fourth Proportional to 3,450.70, 4,761.57 and 1,958.32

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Solution

The fourth proportional to 3,450.70, 4,761.57 and 1,958.32 is: 2,702.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450.70 : 4,761.57 = 1,958.32 : x
  2. Step 2: Convert to fraction form
    3,450.70/4,761.57 = 1,958.32/x
  3. Step 3: Cross multiply
    3,450.70x = 4,761.57 × 1,958.32
  4. Step 4: Simplify right side
    3,450.70x = 9,324,677.76
  5. Step 5: Solve for x
    x = 9,324,677.76/3,450.70
  6. Step 6: Final answer
    x = 2,702.26

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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.