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Finding the Fourth Proportional to 2,858.82, 3,944.05 and 1,796.16

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Solution

The fourth proportional to 2,858.82, 3,944.05 and 1,796.16 is: 2,478.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.82 : 3,944.05 = 1,796.16 : x
  2. Step 2: Convert to fraction form
    2,858.82/3,944.05 = 1,796.16/x
  3. Step 3: Cross multiply
    2,858.82x = 3,944.05 × 1,796.16
  4. Step 4: Simplify right side
    2,858.82x = 7,084,144.85
  5. Step 5: Solve for x
    x = 7,084,144.85/2,858.82
  6. Step 6: Final answer
    x = 2,478.00

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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.