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Finding the Fourth Proportional to 2,724.94, 4,092.82 and 2,334.80

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Solution

The fourth proportional to 2,724.94, 4,092.82 and 2,334.80 is: 3,506.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724.94 : 4,092.82 = 2,334.80 : x
  2. Step 2: Convert to fraction form
    2,724.94/4,092.82 = 2,334.80/x
  3. Step 3: Cross multiply
    2,724.94x = 4,092.82 × 2,334.80
  4. Step 4: Simplify right side
    2,724.94x = 9,555,916.14
  5. Step 5: Solve for x
    x = 9,555,916.14/2,724.94
  6. Step 6: Final answer
    x = 3,506.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.