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Finding the Fourth Proportional to 2,194.44, 3,288.57 and 1,646

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Solution

The fourth proportional to 2,194.44, 3,288.57 and 1,646 is: 2,466.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.44 : 3,288.57 = 1,646 : x
  2. Step 2: Convert to fraction form
    2,194.44/3,288.57 = 1,646/x
  3. Step 3: Cross multiply
    2,194.44x = 3,288.57 × 1,646
  4. Step 4: Simplify right side
    2,194.44x = 5,412,986.22
  5. Step 5: Solve for x
    x = 5,412,986.22/2,194.44
  6. Step 6: Final answer
    x = 2,466.68

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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.