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Finding the Fourth Proportional to 2,016.40, 2,773.44 and 1,622.56

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Solution

The fourth proportional to 2,016.40, 2,773.44 and 1,622.56 is: 2,231.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.40 : 2,773.44 = 1,622.56 : x
  2. Step 2: Convert to fraction form
    2,016.40/2,773.44 = 1,622.56/x
  3. Step 3: Cross multiply
    2,016.40x = 2,773.44 × 1,622.56
  4. Step 4: Simplify right side
    2,016.40x = 4,500,072.81
  5. Step 5: Solve for x
    x = 4,500,072.81/2,016.40
  6. Step 6: Final answer
    x = 2,231.74

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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.