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Finding the Fourth Proportional to 2,061.06, 3,091.91 and 674.06

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Solution

The fourth proportional to 2,061.06, 3,091.91 and 674.06 is: 1,011.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.06 : 3,091.91 = 674.06 : x
  2. Step 2: Convert to fraction form
    2,061.06/3,091.91 = 674.06/x
  3. Step 3: Cross multiply
    2,061.06x = 3,091.91 × 674.06
  4. Step 4: Simplify right side
    2,061.06x = 2,084,114.02
  5. Step 5: Solve for x
    x = 2,084,114.02/2,061.06
  6. Step 6: Final answer
    x = 1,011.18

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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.