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Finding the Fourth Proportional to 2,836.06, 3,914.06 and 1,657.10

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Solution

The fourth proportional to 2,836.06, 3,914.06 and 1,657.10 is: 2,286.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,836.06 : 3,914.06 = 1,657.10 : x
  2. Step 2: Convert to fraction form
    2,836.06/3,914.06 = 1,657.10/x
  3. Step 3: Cross multiply
    2,836.06x = 3,914.06 × 1,657.10
  4. Step 4: Simplify right side
    2,836.06x = 6,485,990.33
  5. Step 5: Solve for x
    x = 6,485,990.33/2,836.06
  6. Step 6: Final answer
    x = 2,286.97

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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.