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Finding the Fourth Proportional to 2,168.12, 2,991.77 and 1,223.96

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Solution

The fourth proportional to 2,168.12, 2,991.77 and 1,223.96 is: 1,688.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.12 : 2,991.77 = 1,223.96 : x
  2. Step 2: Convert to fraction form
    2,168.12/2,991.77 = 1,223.96/x
  3. Step 3: Cross multiply
    2,168.12x = 2,991.77 × 1,223.96
  4. Step 4: Simplify right side
    2,168.12x = 3,661,785.73
  5. Step 5: Solve for x
    x = 3,661,785.73/2,168.12
  6. Step 6: Final answer
    x = 1,688.93

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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.