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Finding the Fourth Proportional to 2,297.29, 3,170.27 and 1,249.36

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Solution

The fourth proportional to 2,297.29, 3,170.27 and 1,249.36 is: 1,724.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.29 : 3,170.27 = 1,249.36 : x
  2. Step 2: Convert to fraction form
    2,297.29/3,170.27 = 1,249.36/x
  3. Step 3: Cross multiply
    2,297.29x = 3,170.27 × 1,249.36
  4. Step 4: Simplify right side
    2,297.29x = 3,960,808.53
  5. Step 5: Solve for x
    x = 3,960,808.53/2,297.29
  6. Step 6: Final answer
    x = 1,724.12

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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.