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Finding the Fourth Proportional to 2,736.12, 3,775.74 and 1,494.12

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Solution

The fourth proportional to 2,736.12, 3,775.74 and 1,494.12 is: 2,061.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736.12 : 3,775.74 = 1,494.12 : x
  2. Step 2: Convert to fraction form
    2,736.12/3,775.74 = 1,494.12/x
  3. Step 3: Cross multiply
    2,736.12x = 3,775.74 × 1,494.12
  4. Step 4: Simplify right side
    2,736.12x = 5,641,408.65
  5. Step 5: Solve for x
    x = 5,641,408.65/2,736.12
  6. Step 6: Final answer
    x = 2,061.83

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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.