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Finding the Fourth Proportional to 3,114.04, 4,662.82 and 1,879.80

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Solution

The fourth proportional to 3,114.04, 4,662.82 and 1,879.80 is: 2,814.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.04 : 4,662.82 = 1,879.80 : x
  2. Step 2: Convert to fraction form
    3,114.04/4,662.82 = 1,879.80/x
  3. Step 3: Cross multiply
    3,114.04x = 4,662.82 × 1,879.80
  4. Step 4: Simplify right side
    3,114.04x = 8,765,169.04
  5. Step 5: Solve for x
    x = 8,765,169.04/3,114.04
  6. Step 6: Final answer
    x = 2,814.73

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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.