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Finding the Fourth Proportional to 2,016.02, 3,022.90 and 919.04

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Solution

The fourth proportional to 2,016.02, 3,022.90 and 919.04 is: 1,378.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.02 : 3,022.90 = 919.04 : x
  2. Step 2: Convert to fraction form
    2,016.02/3,022.90 = 919.04/x
  3. Step 3: Cross multiply
    2,016.02x = 3,022.90 × 919.04
  4. Step 4: Simplify right side
    2,016.02x = 2,778,166.02
  5. Step 5: Solve for x
    x = 2,778,166.02/2,016.02
  6. Step 6: Final answer
    x = 1,378.04

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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.