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Finding the Fourth Proportional to 3,402.49, 4,694.26 and 1,910.20

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Solution

The fourth proportional to 3,402.49, 4,694.26 and 1,910.20 is: 2,635.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.49 : 4,694.26 = 1,910.20 : x
  2. Step 2: Convert to fraction form
    3,402.49/4,694.26 = 1,910.20/x
  3. Step 3: Cross multiply
    3,402.49x = 4,694.26 × 1,910.20
  4. Step 4: Simplify right side
    3,402.49x = 8,966,942.43
  5. Step 5: Solve for x
    x = 8,966,942.43/3,402.49
  6. Step 6: Final answer
    x = 2,635.41

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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.