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Finding the Fourth Proportional to 1,408.67, 1,942.50 and 936.41

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Solution

The fourth proportional to 1,408.67, 1,942.50 and 936.41 is: 1,291.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.67 : 1,942.50 = 936.41 : x
  2. Step 2: Convert to fraction form
    1,408.67/1,942.50 = 936.41/x
  3. Step 3: Cross multiply
    1,408.67x = 1,942.50 × 936.41
  4. Step 4: Simplify right side
    1,408.67x = 1,818,976.43
  5. Step 5: Solve for x
    x = 1,818,976.43/1,408.67
  6. Step 6: Final answer
    x = 1,291.27

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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.