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Finding the Fourth Proportional to 2,168.62, 2,991.30 and 1,283.82

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Solution

The fourth proportional to 2,168.62, 2,991.30 and 1,283.82 is: 1,770.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.62 : 2,991.30 = 1,283.82 : x
  2. Step 2: Convert to fraction form
    2,168.62/2,991.30 = 1,283.82/x
  3. Step 3: Cross multiply
    2,168.62x = 2,991.30 × 1,283.82
  4. Step 4: Simplify right side
    2,168.62x = 3,840,290.77
  5. Step 5: Solve for x
    x = 3,840,290.77/2,168.62
  6. Step 6: Final answer
    x = 1,770.85

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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.