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Finding the Fourth Proportional to 3,170.44, 4,376.16 and 1,991.50

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Solution

The fourth proportional to 3,170.44, 4,376.16 and 1,991.50 is: 2,748.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.44 : 4,376.16 = 1,991.50 : x
  2. Step 2: Convert to fraction form
    3,170.44/4,376.16 = 1,991.50/x
  3. Step 3: Cross multiply
    3,170.44x = 4,376.16 × 1,991.50
  4. Step 4: Simplify right side
    3,170.44x = 8,715,122.64
  5. Step 5: Solve for x
    x = 8,715,122.64/3,170.44
  6. Step 6: Final answer
    x = 2,748.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.