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Finding the Fourth Proportional to 2,879.64, 3,968.64 and 2,092.32

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Solution

The fourth proportional to 2,879.64, 3,968.64 and 2,092.32 is: 2,883.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879.64 : 3,968.64 = 2,092.32 : x
  2. Step 2: Convert to fraction form
    2,879.64/3,968.64 = 2,092.32/x
  3. Step 3: Cross multiply
    2,879.64x = 3,968.64 × 2,092.32
  4. Step 4: Simplify right side
    2,879.64x = 8,303,664.84
  5. Step 5: Solve for x
    x = 8,303,664.84/2,879.64
  6. Step 6: Final answer
    x = 2,883.58

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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.