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Finding the Fourth Proportional to 2,168.16, 2,991.08 and 1,381.92

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Solution

The fourth proportional to 2,168.16, 2,991.08 and 1,381.92 is: 1,906.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.16 : 2,991.08 = 1,381.92 : x
  2. Step 2: Convert to fraction form
    2,168.16/2,991.08 = 1,381.92/x
  3. Step 3: Cross multiply
    2,168.16x = 2,991.08 × 1,381.92
  4. Step 4: Simplify right side
    2,168.16x = 4,133,433.27
  5. Step 5: Solve for x
    x = 4,133,433.27/2,168.16
  6. Step 6: Final answer
    x = 1,906.42

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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.