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Finding the Fourth Proportional to 2,011.36, 3,017.02 and 1,961.74

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Solution

The fourth proportional to 2,011.36, 3,017.02 and 1,961.74 is: 2,942.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.36 : 3,017.02 = 1,961.74 : x
  2. Step 2: Convert to fraction form
    2,011.36/3,017.02 = 1,961.74/x
  3. Step 3: Cross multiply
    2,011.36x = 3,017.02 × 1,961.74
  4. Step 4: Simplify right side
    2,011.36x = 5,918,608.81
  5. Step 5: Solve for x
    x = 5,918,608.81/2,011.36
  6. Step 6: Final answer
    x = 2,942.59

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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.