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Finding the Fourth Proportional to 1,421.48, 1,961.53 and 791.96

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Solution

The fourth proportional to 1,421.48, 1,961.53 and 791.96 is: 1,092.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.48 : 1,961.53 = 791.96 : x
  2. Step 2: Convert to fraction form
    1,421.48/1,961.53 = 791.96/x
  3. Step 3: Cross multiply
    1,421.48x = 1,961.53 × 791.96
  4. Step 4: Simplify right side
    1,421.48x = 1,553,453.30
  5. Step 5: Solve for x
    x = 1,553,453.30/1,421.48
  6. Step 6: Final answer
    x = 1,092.84

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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.