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Finding the Fourth Proportional to 2,141.19, 3,212.42 and 680.31

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Solution

The fourth proportional to 2,141.19, 3,212.42 and 680.31 is: 1,020.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.19 : 3,212.42 = 680.31 : x
  2. Step 2: Convert to fraction form
    2,141.19/3,212.42 = 680.31/x
  3. Step 3: Cross multiply
    2,141.19x = 3,212.42 × 680.31
  4. Step 4: Simplify right side
    2,141.19x = 2,185,438.05
  5. Step 5: Solve for x
    x = 2,185,438.05/2,141.19
  6. Step 6: Final answer
    x = 1,020.67

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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.