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Finding the Fourth Proportional to 2,491.20, 3,736.91 and 931.05

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Solution

The fourth proportional to 2,491.20, 3,736.91 and 931.05 is: 1,396.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.20 : 3,736.91 = 931.05 : x
  2. Step 2: Convert to fraction form
    2,491.20/3,736.91 = 931.05/x
  3. Step 3: Cross multiply
    2,491.20x = 3,736.91 × 931.05
  4. Step 4: Simplify right side
    2,491.20x = 3,479,231.39
  5. Step 5: Solve for x
    x = 3,479,231.39/2,491.20
  6. Step 6: Final answer
    x = 1,396.61

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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.