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Finding the Fourth Proportional to 2,025.43, 3,037.60 and 855.44

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Solution

The fourth proportional to 2,025.43, 3,037.60 and 855.44 is: 1,282.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025.43 : 3,037.60 = 855.44 : x
  2. Step 2: Convert to fraction form
    2,025.43/3,037.60 = 855.44/x
  3. Step 3: Cross multiply
    2,025.43x = 3,037.60 × 855.44
  4. Step 4: Simplify right side
    2,025.43x = 2,598,484.54
  5. Step 5: Solve for x
    x = 2,598,484.54/2,025.43
  6. Step 6: Final answer
    x = 1,282.93

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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.