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Finding the Fourth Proportional to 2,061.12, 3,091.62 and 674.46

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Solution

The fourth proportional to 2,061.12, 3,091.62 and 674.46 is: 1,011.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.12 : 3,091.62 = 674.46 : x
  2. Step 2: Convert to fraction form
    2,061.12/3,091.62 = 674.46/x
  3. Step 3: Cross multiply
    2,061.12x = 3,091.62 × 674.46
  4. Step 4: Simplify right side
    2,061.12x = 2,085,174.03
  5. Step 5: Solve for x
    x = 2,085,174.03/2,061.12
  6. Step 6: Final answer
    x = 1,011.67

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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.