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Finding the Fourth Proportional to 2,168.81, 2,992.96 and 1,174.09

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Solution

The fourth proportional to 2,168.81, 2,992.96 and 1,174.09 is: 1,620.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.81 : 2,992.96 = 1,174.09 : x
  2. Step 2: Convert to fraction form
    2,168.81/2,992.96 = 1,174.09/x
  3. Step 3: Cross multiply
    2,168.81x = 2,992.96 × 1,174.09
  4. Step 4: Simplify right side
    2,168.81x = 3,513,999.93
  5. Step 5: Solve for x
    x = 3,513,999.93/2,168.81
  6. Step 6: Final answer
    x = 1,620.24

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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.