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Finding the Fourth Proportional to 2,563.35, 3,842.28 and 1,083.39

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Solution

The fourth proportional to 2,563.35, 3,842.28 and 1,083.39 is: 1,623.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.35 : 3,842.28 = 1,083.39 : x
  2. Step 2: Convert to fraction form
    2,563.35/3,842.28 = 1,083.39/x
  3. Step 3: Cross multiply
    2,563.35x = 3,842.28 × 1,083.39
  4. Step 4: Simplify right side
    2,563.35x = 4,162,687.73
  5. Step 5: Solve for x
    x = 4,162,687.73/2,563.35
  6. Step 6: Final answer
    x = 1,623.92

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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.