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Finding the Fourth Proportional to 1,911.89, 2,864.13 and 1,119.33

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Solution

The fourth proportional to 1,911.89, 2,864.13 and 1,119.33 is: 1,676.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911.89 : 2,864.13 = 1,119.33 : x
  2. Step 2: Convert to fraction form
    1,911.89/2,864.13 = 1,119.33/x
  3. Step 3: Cross multiply
    1,911.89x = 2,864.13 × 1,119.33
  4. Step 4: Simplify right side
    1,911.89x = 3,205,911.88
  5. Step 5: Solve for x
    x = 3,205,911.88/1,911.89
  6. Step 6: Final answer
    x = 1,676.83

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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.