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Finding the Fourth Proportional to 3,107.80, 4,657.60 and 2,282.20

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Solution

The fourth proportional to 3,107.80, 4,657.60 and 2,282.20 is: 3,420.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.80 : 4,657.60 = 2,282.20 : x
  2. Step 2: Convert to fraction form
    3,107.80/4,657.60 = 2,282.20/x
  3. Step 3: Cross multiply
    3,107.80x = 4,657.60 × 2,282.20
  4. Step 4: Simplify right side
    3,107.80x = 10,629,574.72
  5. Step 5: Solve for x
    x = 10,629,574.72/3,107.80
  6. Step 6: Final answer
    x = 3,420.29

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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.