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Finding the Fourth Proportional to 3,402.10, 4,694.90 and 1,910.16

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Solution

The fourth proportional to 3,402.10, 4,694.90 and 1,910.16 is: 2,636.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.10 : 4,694.90 = 1,910.16 : x
  2. Step 2: Convert to fraction form
    3,402.10/4,694.90 = 1,910.16/x
  3. Step 3: Cross multiply
    3,402.10x = 4,694.90 × 1,910.16
  4. Step 4: Simplify right side
    3,402.10x = 8,968,010.18
  5. Step 5: Solve for x
    x = 8,968,010.18/3,402.10
  6. Step 6: Final answer
    x = 2,636.02

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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.