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Finding the Fourth Proportional to 3,190.80, 4,782.90 and 2,311.14

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Solution

The fourth proportional to 3,190.80, 4,782.90 and 2,311.14 is: 3,464.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190.80 : 4,782.90 = 2,311.14 : x
  2. Step 2: Convert to fraction form
    3,190.80/4,782.90 = 2,311.14/x
  3. Step 3: Cross multiply
    3,190.80x = 4,782.90 × 2,311.14
  4. Step 4: Simplify right side
    3,190.80x = 11,053,951.51
  5. Step 5: Solve for x
    x = 11,053,951.51/3,190.80
  6. Step 6: Final answer
    x = 3,464.32

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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.