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Finding the Fourth Proportional to 2,724.87, 4,083.88 and 1,475.42

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Solution

The fourth proportional to 2,724.87, 4,083.88 and 1,475.42 is: 2,211.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724.87 : 4,083.88 = 1,475.42 : x
  2. Step 2: Convert to fraction form
    2,724.87/4,083.88 = 1,475.42/x
  3. Step 3: Cross multiply
    2,724.87x = 4,083.88 × 1,475.42
  4. Step 4: Simplify right side
    2,724.87x = 6,025,414.12
  5. Step 5: Solve for x
    x = 6,025,414.12/2,724.87
  6. Step 6: Final answer
    x = 2,211.26

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Why These Related Problems?

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