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Finding the Fourth Proportional to 1,855.44, 2,571.60 and 1,820.88

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Solution

The fourth proportional to 1,855.44, 2,571.60 and 1,820.88 is: 2,523.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.44 : 2,571.60 = 1,820.88 : x
  2. Step 2: Convert to fraction form
    1,855.44/2,571.60 = 1,820.88/x
  3. Step 3: Cross multiply
    1,855.44x = 2,571.60 × 1,820.88
  4. Step 4: Simplify right side
    1,855.44x = 4,682,575.01
  5. Step 5: Solve for x
    x = 4,682,575.01/1,855.44
  6. Step 6: Final answer
    x = 2,523.70

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.