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Finding the Fourth Proportional to 2,169.43, 2,993.62 and 1,285.09

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Solution

The fourth proportional to 2,169.43, 2,993.62 and 1,285.09 is: 1,773.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.43 : 2,993.62 = 1,285.09 : x
  2. Step 2: Convert to fraction form
    2,169.43/2,993.62 = 1,285.09/x
  3. Step 3: Cross multiply
    2,169.43x = 2,993.62 × 1,285.09
  4. Step 4: Simplify right side
    2,169.43x = 3,847,071.13
  5. Step 5: Solve for x
    x = 3,847,071.13/2,169.43
  6. Step 6: Final answer
    x = 1,773.31

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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.