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Finding the Fourth Proportional to 2,539.35, 3,808.72 and 1,078.31

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Solution

The fourth proportional to 2,539.35, 3,808.72 and 1,078.31 is: 1,617.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539.35 : 3,808.72 = 1,078.31 : x
  2. Step 2: Convert to fraction form
    2,539.35/3,808.72 = 1,078.31/x
  3. Step 3: Cross multiply
    2,539.35x = 3,808.72 × 1,078.31
  4. Step 4: Simplify right side
    2,539.35x = 4,106,991.73
  5. Step 5: Solve for x
    x = 4,106,991.73/2,539.35
  6. Step 6: Final answer
    x = 1,617.34

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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.