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Finding the Fourth Proportional to 2,096.40, 2,892.87 and 1,212.19

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Solution

The fourth proportional to 2,096.40, 2,892.87 and 1,212.19 is: 1,672.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.40 : 2,892.87 = 1,212.19 : x
  2. Step 2: Convert to fraction form
    2,096.40/2,892.87 = 1,212.19/x
  3. Step 3: Cross multiply
    2,096.40x = 2,892.87 × 1,212.19
  4. Step 4: Simplify right side
    2,096.40x = 3,506,708.09
  5. Step 5: Solve for x
    x = 3,506,708.09/2,096.40
  6. Step 6: Final answer
    x = 1,672.73

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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.