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Finding the Fourth Proportional to 2,371.72, 3,268.04 and 2,016.40

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Solution

The fourth proportional to 2,371.72, 3,268.04 and 2,016.40 is: 2,778.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371.72 : 3,268.04 = 2,016.40 : x
  2. Step 2: Convert to fraction form
    2,371.72/3,268.04 = 2,016.40/x
  3. Step 3: Cross multiply
    2,371.72x = 3,268.04 × 2,016.40
  4. Step 4: Simplify right side
    2,371.72x = 6,589,675.86
  5. Step 5: Solve for x
    x = 6,589,675.86/2,371.72
  6. Step 6: Final answer
    x = 2,778.44

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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.