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Finding the Fourth Proportional to 1,991.37, 2,986.04 and 674.72

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Solution

The fourth proportional to 1,991.37, 2,986.04 and 674.72 is: 1,011.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.37 : 2,986.04 = 674.72 : x
  2. Step 2: Convert to fraction form
    1,991.37/2,986.04 = 674.72/x
  3. Step 3: Cross multiply
    1,991.37x = 2,986.04 × 674.72
  4. Step 4: Simplify right side
    1,991.37x = 2,014,727.67
  5. Step 5: Solve for x
    x = 2,014,727.67/1,991.37
  6. Step 6: Final answer
    x = 1,011.73

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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.