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Finding the Fourth Proportional to 2,858.92, 3,945.58 and 1,796.86

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Solution

The fourth proportional to 2,858.92, 3,945.58 and 1,796.86 is: 2,479.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.92 : 3,945.58 = 1,796.86 : x
  2. Step 2: Convert to fraction form
    2,858.92/3,945.58 = 1,796.86/x
  3. Step 3: Cross multiply
    2,858.92x = 3,945.58 × 1,796.86
  4. Step 4: Simplify right side
    2,858.92x = 7,089,654.88
  5. Step 5: Solve for x
    x = 7,089,654.88/2,858.92
  6. Step 6: Final answer
    x = 2,479.84

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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.