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Finding the Fourth Proportional to 2,797, 3,867.06 and 2,674.60

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Solution

The fourth proportional to 2,797, 3,867.06 and 2,674.60 is: 3,697.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797 : 3,867.06 = 2,674.60 : x
  2. Step 2: Convert to fraction form
    2,797/3,867.06 = 2,674.60/x
  3. Step 3: Cross multiply
    2,797x = 3,867.06 × 2,674.60
  4. Step 4: Simplify right side
    2,797x = 10,342,838.68
  5. Step 5: Solve for x
    x = 10,342,838.68/2,797
  6. Step 6: Final answer
    x = 3,697.83

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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.