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Finding the Fourth Proportional to 2,108.89, 3,162.79 and 1,013.05

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Solution

The fourth proportional to 2,108.89, 3,162.79 and 1,013.05 is: 1,519.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.89 : 3,162.79 = 1,013.05 : x
  2. Step 2: Convert to fraction form
    2,108.89/3,162.79 = 1,013.05/x
  3. Step 3: Cross multiply
    2,108.89x = 3,162.79 × 1,013.05
  4. Step 4: Simplify right side
    2,108.89x = 3,204,064.41
  5. Step 5: Solve for x
    x = 3,204,064.41/2,108.89
  6. Step 6: Final answer
    x = 1,519.31

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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.