Home / 2,108.09-3,162.86-938.19

Finding the Fourth Proportional to 2,108.09, 3,162.86 and 938.19

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Solution

The fourth proportional to 2,108.09, 3,162.86 and 938.19 is: 1,407.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.09 : 3,162.86 = 938.19 : x
  2. Step 2: Convert to fraction form
    2,108.09/3,162.86 = 938.19/x
  3. Step 3: Cross multiply
    2,108.09x = 3,162.86 × 938.19
  4. Step 4: Simplify right side
    2,108.09x = 2,967,363.62
  5. Step 5: Solve for x
    x = 2,967,363.62/2,108.09
  6. Step 6: Final answer
    x = 1,407.61

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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.