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Finding the Fourth Proportional to 2,016.90, 2,783.87 and 1,419.53

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Solution

The fourth proportional to 2,016.90, 2,783.87 and 1,419.53 is: 1,959.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.90 : 2,783.87 = 1,419.53 : x
  2. Step 2: Convert to fraction form
    2,016.90/2,783.87 = 1,419.53/x
  3. Step 3: Cross multiply
    2,016.90x = 2,783.87 × 1,419.53
  4. Step 4: Simplify right side
    2,016.90x = 3,951,771.29
  5. Step 5: Solve for x
    x = 3,951,771.29/2,016.90
  6. Step 6: Final answer
    x = 1,959.33

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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.