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Finding the Fourth Proportional to 2,539.75, 3,805.27 and 2,282.96

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Solution

The fourth proportional to 2,539.75, 3,805.27 and 2,282.96 is: 3,420.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539.75 : 3,805.27 = 2,282.96 : x
  2. Step 2: Convert to fraction form
    2,539.75/3,805.27 = 2,282.96/x
  3. Step 3: Cross multiply
    2,539.75x = 3,805.27 × 2,282.96
  4. Step 4: Simplify right side
    2,539.75x = 8,687,268.74
  5. Step 5: Solve for x
    x = 8,687,268.74/2,539.75
  6. Step 6: Final answer
    x = 3,420.52

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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.