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Finding the Fourth Proportional to 2,076.23, 3,112.16 and 905.21

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Solution

The fourth proportional to 2,076.23, 3,112.16 and 905.21 is: 1,356.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.23 : 3,112.16 = 905.21 : x
  2. Step 2: Convert to fraction form
    2,076.23/3,112.16 = 905.21/x
  3. Step 3: Cross multiply
    2,076.23x = 3,112.16 × 905.21
  4. Step 4: Simplify right side
    2,076.23x = 2,817,149.94
  5. Step 5: Solve for x
    x = 2,817,149.94/2,076.23
  6. Step 6: Final answer
    x = 1,356.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.