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Finding the Fourth Proportional to 2,016.81, 2,780.87 and 1,596.33

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Solution

The fourth proportional to 2,016.81, 2,780.87 and 1,596.33 is: 2,201.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.81 : 2,780.87 = 1,596.33 : x
  2. Step 2: Convert to fraction form
    2,016.81/2,780.87 = 1,596.33/x
  3. Step 3: Cross multiply
    2,016.81x = 2,780.87 × 1,596.33
  4. Step 4: Simplify right side
    2,016.81x = 4,439,178.23
  5. Step 5: Solve for x
    x = 4,439,178.23/2,016.81
  6. Step 6: Final answer
    x = 2,201.09

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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.