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Finding the Fourth Proportional to 2,539.42, 3,809.25 and 2,400.88

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Solution

The fourth proportional to 2,539.42, 3,809.25 and 2,400.88 is: 3,601.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539.42 : 3,809.25 = 2,400.88 : x
  2. Step 2: Convert to fraction form
    2,539.42/3,809.25 = 2,400.88/x
  3. Step 3: Cross multiply
    2,539.42x = 3,809.25 × 2,400.88
  4. Step 4: Simplify right side
    2,539.42x = 9,145,552.14
  5. Step 5: Solve for x
    x = 9,145,552.14/2,539.42
  6. Step 6: Final answer
    x = 3,601.43

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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.