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Finding the Fourth Proportional to 2,297.01, 3,169.88 and 1,249.08

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Solution

The fourth proportional to 2,297.01, 3,169.88 and 1,249.08 is: 1,723.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.01 : 3,169.88 = 1,249.08 : x
  2. Step 2: Convert to fraction form
    2,297.01/3,169.88 = 1,249.08/x
  3. Step 3: Cross multiply
    2,297.01x = 3,169.88 × 1,249.08
  4. Step 4: Simplify right side
    2,297.01x = 3,959,433.71
  5. Step 5: Solve for x
    x = 3,959,433.71/2,297.01
  6. Step 6: Final answer
    x = 1,723.73

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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.