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Finding the Fourth Proportional to 2,016.81, 3,026.13 and 1,984.02

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Solution

The fourth proportional to 2,016.81, 3,026.13 and 1,984.02 is: 2,976.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.81 : 3,026.13 = 1,984.02 : x
  2. Step 2: Convert to fraction form
    2,016.81/3,026.13 = 1,984.02/x
  3. Step 3: Cross multiply
    2,016.81x = 3,026.13 × 1,984.02
  4. Step 4: Simplify right side
    2,016.81x = 6,003,902.44
  5. Step 5: Solve for x
    x = 6,003,902.44/2,016.81
  6. Step 6: Final answer
    x = 2,976.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.