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Finding the Fourth Proportional to 3,186.56, 4,777.36 and 1,519.84

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Solution

The fourth proportional to 3,186.56, 4,777.36 and 1,519.84 is: 2,278.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.56 : 4,777.36 = 1,519.84 : x
  2. Step 2: Convert to fraction form
    3,186.56/4,777.36 = 1,519.84/x
  3. Step 3: Cross multiply
    3,186.56x = 4,777.36 × 1,519.84
  4. Step 4: Simplify right side
    3,186.56x = 7,260,822.82
  5. Step 5: Solve for x
    x = 7,260,822.82/3,186.56
  6. Step 6: Final answer
    x = 2,278.58

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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.