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Finding the Fourth Proportional to 2,647.56, 3,969.78 and 1,186.44

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Solution

The fourth proportional to 2,647.56, 3,969.78 and 1,186.44 is: 1,778.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.56 : 3,969.78 = 1,186.44 : x
  2. Step 2: Convert to fraction form
    2,647.56/3,969.78 = 1,186.44/x
  3. Step 3: Cross multiply
    2,647.56x = 3,969.78 × 1,186.44
  4. Step 4: Simplify right side
    2,647.56x = 4,709,905.78
  5. Step 5: Solve for x
    x = 4,709,905.78/2,647.56
  6. Step 6: Final answer
    x = 1,778.96

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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.