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Finding the Fourth Proportional to 3,194.08, 4,791.00 and 1,114.08

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Solution

The fourth proportional to 3,194.08, 4,791.00 and 1,114.08 is: 1,671.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.08 : 4,791.00 = 1,114.08 : x
  2. Step 2: Convert to fraction form
    3,194.08/4,791.00 = 1,114.08/x
  3. Step 3: Cross multiply
    3,194.08x = 4,791.00 × 1,114.08
  4. Step 4: Simplify right side
    3,194.08x = 5,337,543.49
  5. Step 5: Solve for x
    x = 5,337,543.49/3,194.08
  6. Step 6: Final answer
    x = 1,671.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.