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Finding the Fourth Proportional to 2,575.44, 3,857.99 and 1,186.84

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Solution

The fourth proportional to 2,575.44, 3,857.99 and 1,186.84 is: 1,777.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.44 : 3,857.99 = 1,186.84 : x
  2. Step 2: Convert to fraction form
    2,575.44/3,857.99 = 1,186.84/x
  3. Step 3: Cross multiply
    2,575.44x = 3,857.99 × 1,186.84
  4. Step 4: Simplify right side
    2,575.44x = 4,578,816.85
  5. Step 5: Solve for x
    x = 4,578,816.85/2,575.44
  6. Step 6: Final answer
    x = 1,777.88

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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.