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Finding the Fourth Proportional to 2,944, 4,062.72 and 2,724.16

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Solution

The fourth proportional to 2,944, 4,062.72 and 2,724.16 is: 3,759.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944 : 4,062.72 = 2,724.16 : x
  2. Step 2: Convert to fraction form
    2,944/4,062.72 = 2,724.16/x
  3. Step 3: Cross multiply
    2,944x = 4,062.72 × 2,724.16
  4. Step 4: Simplify right side
    2,944x = 11,067,499.32
  5. Step 5: Solve for x
    x = 11,067,499.32/2,944
  6. Step 6: Final answer
    x = 3,759.34

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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.