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Finding the Fourth Proportional to 2,096.78, 2,893.23 and 1,212.41

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Solution

The fourth proportional to 2,096.78, 2,893.23 and 1,212.41 is: 1,672.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.78 : 2,893.23 = 1,212.41 : x
  2. Step 2: Convert to fraction form
    2,096.78/2,893.23 = 1,212.41/x
  3. Step 3: Cross multiply
    2,096.78x = 2,893.23 × 1,212.41
  4. Step 4: Simplify right side
    2,096.78x = 3,507,780.98
  5. Step 5: Solve for x
    x = 3,507,780.98/2,096.78
  6. Step 6: Final answer
    x = 1,672.94

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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.