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Finding the Fourth Proportional to 2,442.73, 3,370.97 and 1,448.50

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Solution

The fourth proportional to 2,442.73, 3,370.97 and 1,448.50 is: 1,998.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.73 : 3,370.97 = 1,448.50 : x
  2. Step 2: Convert to fraction form
    2,442.73/3,370.97 = 1,448.50/x
  3. Step 3: Cross multiply
    2,442.73x = 3,370.97 × 1,448.50
  4. Step 4: Simplify right side
    2,442.73x = 4,882,850.05
  5. Step 5: Solve for x
    x = 4,882,850.05/2,442.73
  6. Step 6: Final answer
    x = 1,998.93

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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.