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Finding the Fourth Proportional to 2,562.44, 3,842.37 and 1,639.85

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Solution

The fourth proportional to 2,562.44, 3,842.37 and 1,639.85 is: 2,458.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.44 : 3,842.37 = 1,639.85 : x
  2. Step 2: Convert to fraction form
    2,562.44/3,842.37 = 1,639.85/x
  3. Step 3: Cross multiply
    2,562.44x = 3,842.37 × 1,639.85
  4. Step 4: Simplify right side
    2,562.44x = 6,300,891.23
  5. Step 5: Solve for x
    x = 6,300,891.23/2,562.44
  6. Step 6: Final answer
    x = 2,458.95

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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.