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Finding the Fourth Proportional to 2,517.63, 3,474.36 and 1,522.73

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Solution

The fourth proportional to 2,517.63, 3,474.36 and 1,522.73 is: 2,101.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517.63 : 3,474.36 = 1,522.73 : x
  2. Step 2: Convert to fraction form
    2,517.63/3,474.36 = 1,522.73/x
  3. Step 3: Cross multiply
    2,517.63x = 3,474.36 × 1,522.73
  4. Step 4: Simplify right side
    2,517.63x = 5,290,494.83
  5. Step 5: Solve for x
    x = 5,290,494.83/2,517.63
  6. Step 6: Final answer
    x = 2,101.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.