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Finding the Fourth Proportional to 2,489.67, 3,736.42 and 930.83

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Solution

The fourth proportional to 2,489.67, 3,736.42 and 930.83 is: 1,396.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.67 : 3,736.42 = 930.83 : x
  2. Step 2: Convert to fraction form
    2,489.67/3,736.42 = 930.83/x
  3. Step 3: Cross multiply
    2,489.67x = 3,736.42 × 930.83
  4. Step 4: Simplify right side
    2,489.67x = 3,477,950.82
  5. Step 5: Solve for x
    x = 3,477,950.82/2,489.67
  6. Step 6: Final answer
    x = 1,396.95

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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.