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Finding the Fourth Proportional to 2,396.15, 3,597.25 and 2,297.73

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Solution

The fourth proportional to 2,396.15, 3,597.25 and 2,297.73 is: 3,449.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.15 : 3,597.25 = 2,297.73 : x
  2. Step 2: Convert to fraction form
    2,396.15/3,597.25 = 2,297.73/x
  3. Step 3: Cross multiply
    2,396.15x = 3,597.25 × 2,297.73
  4. Step 4: Simplify right side
    2,396.15x = 8,265,509.24
  5. Step 5: Solve for x
    x = 8,265,509.24/2,396.15
  6. Step 6: Final answer
    x = 3,449.50

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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.