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Finding the Fourth Proportional to 2,297.44, 3,170.47 and 1,249.50

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Solution

The fourth proportional to 2,297.44, 3,170.47 and 1,249.50 is: 1,724.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.44 : 3,170.47 = 1,249.50 : x
  2. Step 2: Convert to fraction form
    2,297.44/3,170.47 = 1,249.50/x
  3. Step 3: Cross multiply
    2,297.44x = 3,170.47 × 1,249.50
  4. Step 4: Simplify right side
    2,297.44x = 3,961,499.14
  5. Step 5: Solve for x
    x = 3,961,499.14/2,297.44
  6. Step 6: Final answer
    x = 1,724.31

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