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Finding the Fourth Proportional to 2,096.70, 2,893.43 and 1,212.48

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Solution

The fourth proportional to 2,096.70, 2,893.43 and 1,212.48 is: 1,673.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.70 : 2,893.43 = 1,212.48 : x
  2. Step 2: Convert to fraction form
    2,096.70/2,893.43 = 1,212.48/x
  3. Step 3: Cross multiply
    2,096.70x = 2,893.43 × 1,212.48
  4. Step 4: Simplify right side
    2,096.70x = 3,508,219.94
  5. Step 5: Solve for x
    x = 3,508,219.94/2,096.70
  6. Step 6: Final answer
    x = 1,673.21

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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.