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Finding the Fourth Proportional to 1,984.88, 2,961.10 and 1,958.96

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Solution

The fourth proportional to 1,984.88, 2,961.10 and 1,958.96 is: 2,922.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.88 : 2,961.10 = 1,958.96 : x
  2. Step 2: Convert to fraction form
    1,984.88/2,961.10 = 1,958.96/x
  3. Step 3: Cross multiply
    1,984.88x = 2,961.10 × 1,958.96
  4. Step 4: Simplify right side
    1,984.88x = 5,800,676.46
  5. Step 5: Solve for x
    x = 5,800,676.46/1,984.88
  6. Step 6: Final answer
    x = 2,922.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.