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Finding the Fourth Proportional to 2,906.16, 4,011.96 and 2,119.92

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Solution

The fourth proportional to 2,906.16, 4,011.96 and 2,119.92 is: 2,926.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.16 : 4,011.96 = 2,119.92 : x
  2. Step 2: Convert to fraction form
    2,906.16/4,011.96 = 2,119.92/x
  3. Step 3: Cross multiply
    2,906.16x = 4,011.96 × 2,119.92
  4. Step 4: Simplify right side
    2,906.16x = 8,505,034.24
  5. Step 5: Solve for x
    x = 8,505,034.24/2,906.16
  6. Step 6: Final answer
    x = 2,926.55

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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.