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Finding the Fourth Proportional to 2,785.44, 4,169.52 and 2,016.48

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Solution

The fourth proportional to 2,785.44, 4,169.52 and 2,016.48 is: 3,018.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.44 : 4,169.52 = 2,016.48 : x
  2. Step 2: Convert to fraction form
    2,785.44/4,169.52 = 2,016.48/x
  3. Step 3: Cross multiply
    2,785.44x = 4,169.52 × 2,016.48
  4. Step 4: Simplify right side
    2,785.44x = 8,407,753.69
  5. Step 5: Solve for x
    x = 8,407,753.69/2,785.44
  6. Step 6: Final answer
    x = 3,018.47

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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.