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Finding the Fourth Proportional to 2,893.98, 3,993.89 and 1,634.60

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Solution

The fourth proportional to 2,893.98, 3,993.89 and 1,634.60 is: 2,255.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.98 : 3,993.89 = 1,634.60 : x
  2. Step 2: Convert to fraction form
    2,893.98/3,993.89 = 1,634.60/x
  3. Step 3: Cross multiply
    2,893.98x = 3,993.89 × 1,634.60
  4. Step 4: Simplify right side
    2,893.98x = 6,528,412.59
  5. Step 5: Solve for x
    x = 6,528,412.59/2,893.98
  6. Step 6: Final answer
    x = 2,255.86

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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.