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Finding the Fourth Proportional to 2,371.14, 3,564.72 and 1,912.14

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Solution

The fourth proportional to 2,371.14, 3,564.72 and 1,912.14 is: 2,874.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371.14 : 3,564.72 = 1,912.14 : x
  2. Step 2: Convert to fraction form
    2,371.14/3,564.72 = 1,912.14/x
  3. Step 3: Cross multiply
    2,371.14x = 3,564.72 × 1,912.14
  4. Step 4: Simplify right side
    2,371.14x = 6,816,243.70
  5. Step 5: Solve for x
    x = 6,816,243.70/2,371.14
  6. Step 6: Final answer
    x = 2,874.67

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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.