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Finding the Fourth Proportional to 2,805.60, 4,205.70 and 2,180.55

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Solution

The fourth proportional to 2,805.60, 4,205.70 and 2,180.55 is: 3,268.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.60 : 4,205.70 = 2,180.55 : x
  2. Step 2: Convert to fraction form
    2,805.60/4,205.70 = 2,180.55/x
  3. Step 3: Cross multiply
    2,805.60x = 4,205.70 × 2,180.55
  4. Step 4: Simplify right side
    2,805.60x = 9,170,739.14
  5. Step 5: Solve for x
    x = 9,170,739.14/2,805.60
  6. Step 6: Final answer
    x = 3,268.73

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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.