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Finding the Fourth Proportional to 2,168.26, 2,992.37 and 1,236.74

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Solution

The fourth proportional to 2,168.26, 2,992.37 and 1,236.74 is: 1,706.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.26 : 2,992.37 = 1,236.74 : x
  2. Step 2: Convert to fraction form
    2,168.26/2,992.37 = 1,236.74/x
  3. Step 3: Cross multiply
    2,168.26x = 2,992.37 × 1,236.74
  4. Step 4: Simplify right side
    2,168.26x = 3,700,783.67
  5. Step 5: Solve for x
    x = 3,700,783.67/2,168.26
  6. Step 6: Final answer
    x = 1,706.80

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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.