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Finding the Fourth Proportional to 2,725.80, 4,086.27 and 2,267.34

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Solution

The fourth proportional to 2,725.80, 4,086.27 and 2,267.34 is: 3,398.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.80 : 4,086.27 = 2,267.34 : x
  2. Step 2: Convert to fraction form
    2,725.80/4,086.27 = 2,267.34/x
  3. Step 3: Cross multiply
    2,725.80x = 4,086.27 × 2,267.34
  4. Step 4: Simplify right side
    2,725.80x = 9,264,963.42
  5. Step 5: Solve for x
    x = 9,264,963.42/2,725.80
  6. Step 6: Final answer
    x = 3,398.99

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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.