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Finding the Fourth Proportional to 2,783.97, 3,845.63 and 2,228.42

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Solution

The fourth proportional to 2,783.97, 3,845.63 and 2,228.42 is: 3,078.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.97 : 3,845.63 = 2,228.42 : x
  2. Step 2: Convert to fraction form
    2,783.97/3,845.63 = 2,228.42/x
  3. Step 3: Cross multiply
    2,783.97x = 3,845.63 × 2,228.42
  4. Step 4: Simplify right side
    2,783.97x = 8,569,648.43
  5. Step 5: Solve for x
    x = 8,569,648.43/2,783.97
  6. Step 6: Final answer
    x = 3,078.21

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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.