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Finding the Fourth Proportional to 2,016.08, 3,022.74 and 905.08

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Solution

The fourth proportional to 2,016.08, 3,022.74 and 905.08 is: 1,357.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.08 : 3,022.74 = 905.08 : x
  2. Step 2: Convert to fraction form
    2,016.08/3,022.74 = 905.08/x
  3. Step 3: Cross multiply
    2,016.08x = 3,022.74 × 905.08
  4. Step 4: Simplify right side
    2,016.08x = 2,735,821.52
  5. Step 5: Solve for x
    x = 2,735,821.52/2,016.08
  6. Step 6: Final answer
    x = 1,357.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.