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Finding the Fourth Proportional to 3,168.90, 4,754.70 and 2,194.47

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Solution

The fourth proportional to 3,168.90, 4,754.70 and 2,194.47 is: 3,292.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,168.90 : 4,754.70 = 2,194.47 : x
  2. Step 2: Convert to fraction form
    3,168.90/4,754.70 = 2,194.47/x
  3. Step 3: Cross multiply
    3,168.90x = 4,754.70 × 2,194.47
  4. Step 4: Simplify right side
    3,168.90x = 10,434,046.51
  5. Step 5: Solve for x
    x = 10,434,046.51/3,168.90
  6. Step 6: Final answer
    x = 3,292.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.