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Finding the Fourth Proportional to 1,421.28, 1,961.24 and 791.69

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Solution

The fourth proportional to 1,421.28, 1,961.24 and 791.69 is: 1,092.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.28 : 1,961.24 = 791.69 : x
  2. Step 2: Convert to fraction form
    1,421.28/1,961.24 = 791.69/x
  3. Step 3: Cross multiply
    1,421.28x = 1,961.24 × 791.69
  4. Step 4: Simplify right side
    1,421.28x = 1,552,680.33
  5. Step 5: Solve for x
    x = 1,552,680.33/1,421.28
  6. Step 6: Final answer
    x = 1,092.45

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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.