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Finding the Fourth Proportional to 2,840.12, 3,922.64 and 1,894.26

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Solution

The fourth proportional to 2,840.12, 3,922.64 and 1,894.26 is: 2,616.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840.12 : 3,922.64 = 1,894.26 : x
  2. Step 2: Convert to fraction form
    2,840.12/3,922.64 = 1,894.26/x
  3. Step 3: Cross multiply
    2,840.12x = 3,922.64 × 1,894.26
  4. Step 4: Simplify right side
    2,840.12x = 7,430,517.72
  5. Step 5: Solve for x
    x = 7,430,517.72/2,840.12
  6. Step 6: Final answer
    x = 2,616.27

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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.