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Finding the Fourth Proportional to 2,836.96, 4,228.62 and 2,698.32

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Solution

The fourth proportional to 2,836.96, 4,228.62 and 2,698.32 is: 4,021.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,836.96 : 4,228.62 = 2,698.32 : x
  2. Step 2: Convert to fraction form
    2,836.96/4,228.62 = 2,698.32/x
  3. Step 3: Cross multiply
    2,836.96x = 4,228.62 × 2,698.32
  4. Step 4: Simplify right side
    2,836.96x = 11,410,169.92
  5. Step 5: Solve for x
    x = 11,410,169.92/2,836.96
  6. Step 6: Final answer
    x = 4,021.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.