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Finding the Fourth Proportional to 3,122.94, 4,310.13 and 1,796.56

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Solution

The fourth proportional to 3,122.94, 4,310.13 and 1,796.56 is: 2,479.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.94 : 4,310.13 = 1,796.56 : x
  2. Step 2: Convert to fraction form
    3,122.94/4,310.13 = 1,796.56/x
  3. Step 3: Cross multiply
    3,122.94x = 4,310.13 × 1,796.56
  4. Step 4: Simplify right side
    3,122.94x = 7,743,415.24
  5. Step 5: Solve for x
    x = 7,743,415.24/3,122.94
  6. Step 6: Final answer
    x = 2,479.53

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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.