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Finding the Fourth Proportional to 2,297.93, 3,171.05 and 1,249.99

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Solution

The fourth proportional to 2,297.93, 3,171.05 and 1,249.99 is: 1,724.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.93 : 3,171.05 = 1,249.99 : x
  2. Step 2: Convert to fraction form
    2,297.93/3,171.05 = 1,249.99/x
  3. Step 3: Cross multiply
    2,297.93x = 3,171.05 × 1,249.99
  4. Step 4: Simplify right side
    2,297.93x = 3,963,766.61
  5. Step 5: Solve for x
    x = 3,963,766.61/2,297.93
  6. Step 6: Final answer
    x = 1,724.93

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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.