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Finding the Fourth Proportional to 2,049.75, 3,071.97 and 1,170.90

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Solution

The fourth proportional to 2,049.75, 3,071.97 and 1,170.90 is: 1,754.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.75 : 3,071.97 = 1,170.90 : x
  2. Step 2: Convert to fraction form
    2,049.75/3,071.97 = 1,170.90/x
  3. Step 3: Cross multiply
    2,049.75x = 3,071.97 × 1,170.90
  4. Step 4: Simplify right side
    2,049.75x = 3,596,969.67
  5. Step 5: Solve for x
    x = 3,596,969.67/2,049.75
  6. Step 6: Final answer
    x = 1,754.83

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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.