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Finding the Fourth Proportional to 2,960.96, 4,086.15 and 1,634.63

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Solution

The fourth proportional to 2,960.96, 4,086.15 and 1,634.63 is: 2,255.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960.96 : 4,086.15 = 1,634.63 : x
  2. Step 2: Convert to fraction form
    2,960.96/4,086.15 = 1,634.63/x
  3. Step 3: Cross multiply
    2,960.96x = 4,086.15 × 1,634.63
  4. Step 4: Simplify right side
    2,960.96x = 6,679,339.80
  5. Step 5: Solve for x
    x = 6,679,339.80/2,960.96
  6. Step 6: Final answer
    x = 2,255.81

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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.