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Finding the Fourth Proportional to 3,122.94, 4,690.50 and 2,297.97

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Solution

The fourth proportional to 3,122.94, 4,690.50 and 2,297.97 is: 3,451.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.94 : 4,690.50 = 2,297.97 : x
  2. Step 2: Convert to fraction form
    3,122.94/4,690.50 = 2,297.97/x
  3. Step 3: Cross multiply
    3,122.94x = 4,690.50 × 2,297.97
  4. Step 4: Simplify right side
    3,122.94x = 10,778,628.29
  5. Step 5: Solve for x
    x = 10,778,628.29/3,122.94
  6. Step 6: Final answer
    x = 3,451.44

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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.