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Finding the Fourth Proportional to 3,012.73, 4,157.73 and 1,686.62

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Solution

The fourth proportional to 3,012.73, 4,157.73 and 1,686.62 is: 2,327.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012.73 : 4,157.73 = 1,686.62 : x
  2. Step 2: Convert to fraction form
    3,012.73/4,157.73 = 1,686.62/x
  3. Step 3: Cross multiply
    3,012.73x = 4,157.73 × 1,686.62
  4. Step 4: Simplify right side
    3,012.73x = 7,012,520.97
  5. Step 5: Solve for x
    x = 7,012,520.97/3,012.73
  6. Step 6: Final answer
    x = 2,327.63

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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.