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Finding the Fourth Proportional to 4,114.80, 6,171.60 and 1,192.80

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Solution

The fourth proportional to 4,114.80, 6,171.60 and 1,192.80 is: 1,789.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.80 : 6,171.60 = 1,192.80 : x
  2. Step 2: Convert to fraction form
    4,114.80/6,171.60 = 1,192.80/x
  3. Step 3: Cross multiply
    4,114.80x = 6,171.60 × 1,192.80
  4. Step 4: Simplify right side
    4,114.80x = 7,361,484.48
  5. Step 5: Solve for x
    x = 7,361,484.48/4,114.80
  6. Step 6: Final answer
    x = 1,789.03

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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.