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Finding the Fourth Proportional to 2,858.40, 3,942.01 and 1,796.26

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Solution

The fourth proportional to 2,858.40, 3,942.01 and 1,796.26 is: 2,477.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.40 : 3,942.01 = 1,796.26 : x
  2. Step 2: Convert to fraction form
    2,858.40/3,942.01 = 1,796.26/x
  3. Step 3: Cross multiply
    2,858.40x = 3,942.01 × 1,796.26
  4. Step 4: Simplify right side
    2,858.40x = 7,080,874.88
  5. Step 5: Solve for x
    x = 7,080,874.88/2,858.40
  6. Step 6: Final answer
    x = 2,477.22

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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.