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Finding the Fourth Proportional to 2,804.43, 4,204.62 and 855.57

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Solution

The fourth proportional to 2,804.43, 4,204.62 and 855.57 is: 1,282.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.43 : 4,204.62 = 855.57 : x
  2. Step 2: Convert to fraction form
    2,804.43/4,204.62 = 855.57/x
  3. Step 3: Cross multiply
    2,804.43x = 4,204.62 × 855.57
  4. Step 4: Simplify right side
    2,804.43x = 3,597,346.73
  5. Step 5: Solve for x
    x = 3,597,346.73/2,804.43
  6. Step 6: Final answer
    x = 1,282.74

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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.