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Finding the Fourth Proportional to 2,071.20, 3,100.64 and 1,369.20

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Solution

The fourth proportional to 2,071.20, 3,100.64 and 1,369.20 is: 2,049.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.20 : 3,100.64 = 1,369.20 : x
  2. Step 2: Convert to fraction form
    2,071.20/3,100.64 = 1,369.20/x
  3. Step 3: Cross multiply
    2,071.20x = 3,100.64 × 1,369.20
  4. Step 4: Simplify right side
    2,071.20x = 4,245,396.29
  5. Step 5: Solve for x
    x = 4,245,396.29/2,071.20
  6. Step 6: Final answer
    x = 2,049.73

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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.