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Finding the Fourth Proportional to 2,905.78, 4,007.22 and 2,241.58

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Solution

The fourth proportional to 2,905.78, 4,007.22 and 2,241.58 is: 3,091.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,905.78 : 4,007.22 = 2,241.58 : x
  2. Step 2: Convert to fraction form
    2,905.78/4,007.22 = 2,241.58/x
  3. Step 3: Cross multiply
    2,905.78x = 4,007.22 × 2,241.58
  4. Step 4: Simplify right side
    2,905.78x = 8,982,504.21
  5. Step 5: Solve for x
    x = 8,982,504.21/2,905.78
  6. Step 6: Final answer
    x = 3,091.25

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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.