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Finding the Fourth Proportional to 2,231.90, 3,348.26 and 845.65

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Solution

The fourth proportional to 2,231.90, 3,348.26 and 845.65 is: 1,268.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.90 : 3,348.26 = 845.65 : x
  2. Step 2: Convert to fraction form
    2,231.90/3,348.26 = 845.65/x
  3. Step 3: Cross multiply
    2,231.90x = 3,348.26 × 845.65
  4. Step 4: Simplify right side
    2,231.90x = 2,831,456.07
  5. Step 5: Solve for x
    x = 2,831,456.07/2,231.90
  6. Step 6: Final answer
    x = 1,268.63

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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.