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Finding the Fourth Proportional to 1,420.94, 1,961.04 and 791.57

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Solution

The fourth proportional to 1,420.94, 1,961.04 and 791.57 is: 1,092.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.94 : 1,961.04 = 791.57 : x
  2. Step 2: Convert to fraction form
    1,420.94/1,961.04 = 791.57/x
  3. Step 3: Cross multiply
    1,420.94x = 1,961.04 × 791.57
  4. Step 4: Simplify right side
    1,420.94x = 1,552,308.30
  5. Step 5: Solve for x
    x = 1,552,308.30/1,420.94
  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.