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Finding the Fourth Proportional to 2,108.66, 3,161.00 and 938.05

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Solution

The fourth proportional to 2,108.66, 3,161.00 and 938.05 is: 1,406.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.66 : 3,161.00 = 938.05 : x
  2. Step 2: Convert to fraction form
    2,108.66/3,161.00 = 938.05/x
  3. Step 3: Cross multiply
    2,108.66x = 3,161.00 × 938.05
  4. Step 4: Simplify right side
    2,108.66x = 2,965,170.49
  5. Step 5: Solve for x
    x = 2,965,170.49/2,108.66
  6. Step 6: Final answer
    x = 1,406.19

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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.