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Finding the Fourth Proportional to 3,086.94, 4,259.99 and 1,689.82

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Solution

The fourth proportional to 3,086.94, 4,259.99 and 1,689.82 is: 2,331.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.94 : 4,259.99 = 1,689.82 : x
  2. Step 2: Convert to fraction form
    3,086.94/4,259.99 = 1,689.82/x
  3. Step 3: Cross multiply
    3,086.94x = 4,259.99 × 1,689.82
  4. Step 4: Simplify right side
    3,086.94x = 7,198,616.30
  5. Step 5: Solve for x
    x = 7,198,616.30/3,086.94
  6. Step 6: Final answer
    x = 2,331.96

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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.