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Finding the Fourth Proportional to 1,391.21, 1,919.87 and 793.68

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Solution

The fourth proportional to 1,391.21, 1,919.87 and 793.68 is: 1,095.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.21 : 1,919.87 = 793.68 : x
  2. Step 2: Convert to fraction form
    1,391.21/1,919.87 = 793.68/x
  3. Step 3: Cross multiply
    1,391.21x = 1,919.87 × 793.68
  4. Step 4: Simplify right side
    1,391.21x = 1,523,765.03
  5. Step 5: Solve for x
    x = 1,523,765.03/1,391.21
  6. Step 6: Final answer
    x = 1,095.28

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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.