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Finding the Fourth Proportional to 1,443.67, 1,992.87 and 919.73

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Solution

The fourth proportional to 1,443.67, 1,992.87 and 919.73 is: 1,269.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.67 : 1,992.87 = 919.73 : x
  2. Step 2: Convert to fraction form
    1,443.67/1,992.87 = 919.73/x
  3. Step 3: Cross multiply
    1,443.67x = 1,992.87 × 919.73
  4. Step 4: Simplify right side
    1,443.67x = 1,832,907.31
  5. Step 5: Solve for x
    x = 1,832,907.31/1,443.67
  6. Step 6: Final answer
    x = 1,269.62

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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.