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Finding the Fourth Proportional to 2,679.10, 3,694.49 and 1,630.51

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Solution

The fourth proportional to 2,679.10, 3,694.49 and 1,630.51 is: 2,248.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679.10 : 3,694.49 = 1,630.51 : x
  2. Step 2: Convert to fraction form
    2,679.10/3,694.49 = 1,630.51/x
  3. Step 3: Cross multiply
    2,679.10x = 3,694.49 × 1,630.51
  4. Step 4: Simplify right side
    2,679.10x = 6,023,902.89
  5. Step 5: Solve for x
    x = 6,023,902.89/2,679.10
  6. Step 6: Final answer
    x = 2,248.48

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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.