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Finding the Fourth Proportional to 2,861.97, 3,949.67 and 1,602.96

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Solution

The fourth proportional to 2,861.97, 3,949.67 and 1,602.96 is: 2,212.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861.97 : 3,949.67 = 1,602.96 : x
  2. Step 2: Convert to fraction form
    2,861.97/3,949.67 = 1,602.96/x
  3. Step 3: Cross multiply
    2,861.97x = 3,949.67 × 1,602.96
  4. Step 4: Simplify right side
    2,861.97x = 6,331,154.47
  5. Step 5: Solve for x
    x = 6,331,154.47/2,861.97
  6. Step 6: Final answer
    x = 2,212.16

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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.