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Finding the Fourth Proportional to 2,011.89, 2,992.32 and 1,990.02

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Solution

The fourth proportional to 2,011.89, 2,992.32 and 1,990.02 is: 2,959.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.89 : 2,992.32 = 1,990.02 : x
  2. Step 2: Convert to fraction form
    2,011.89/2,992.32 = 1,990.02/x
  3. Step 3: Cross multiply
    2,011.89x = 2,992.32 × 1,990.02
  4. Step 4: Simplify right side
    2,011.89x = 5,954,765.44
  5. Step 5: Solve for x
    x = 5,954,765.44/2,011.89
  6. Step 6: Final answer
    x = 2,959.79

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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.