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Finding the Fourth Proportional to 1,408.80, 1,940.37 and 1,222.29

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Solution

The fourth proportional to 1,408.80, 1,940.37 and 1,222.29 is: 1,683.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.80 : 1,940.37 = 1,222.29 : x
  2. Step 2: Convert to fraction form
    1,408.80/1,940.37 = 1,222.29/x
  3. Step 3: Cross multiply
    1,408.80x = 1,940.37 × 1,222.29
  4. Step 4: Simplify right side
    1,408.80x = 2,371,694.85
  5. Step 5: Solve for x
    x = 2,371,694.85/1,408.80
  6. Step 6: Final answer
    x = 1,683.49

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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.