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Finding the Fourth Proportional to 2,170.86, 2,995.94 and 1,226.33

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Solution

The fourth proportional to 2,170.86, 2,995.94 and 1,226.33 is: 1,692.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.86 : 2,995.94 = 1,226.33 : x
  2. Step 2: Convert to fraction form
    2,170.86/2,995.94 = 1,226.33/x
  3. Step 3: Cross multiply
    2,170.86x = 2,995.94 × 1,226.33
  4. Step 4: Simplify right side
    2,170.86x = 3,673,989.99
  5. Step 5: Solve for x
    x = 3,673,989.99/2,170.86
  6. Step 6: Final answer
    x = 1,692.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.