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Finding the Fourth Proportional to 2,096.70, 3,146.87 and 1,367.29

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Solution

The fourth proportional to 2,096.70, 3,146.87 and 1,367.29 is: 2,052.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.70 : 3,146.87 = 1,367.29 : x
  2. Step 2: Convert to fraction form
    2,096.70/3,146.87 = 1,367.29/x
  3. Step 3: Cross multiply
    2,096.70x = 3,146.87 × 1,367.29
  4. Step 4: Simplify right side
    2,096.70x = 4,302,683.88
  5. Step 5: Solve for x
    x = 4,302,683.88/2,096.70
  6. Step 6: Final answer
    x = 2,052.12

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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.