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Finding the Fourth Proportional to 2,726.56, 4,086 and 1,186.72

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Solution

The fourth proportional to 2,726.56, 4,086 and 1,186.72 is: 1,778.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.56 : 4,086 = 1,186.72 : x
  2. Step 2: Convert to fraction form
    2,726.56/4,086 = 1,186.72/x
  3. Step 3: Cross multiply
    2,726.56x = 4,086 × 1,186.72
  4. Step 4: Simplify right side
    2,726.56x = 4,848,937.92
  5. Step 5: Solve for x
    x = 4,848,937.92/2,726.56
  6. Step 6: Final answer
    x = 1,778.41

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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.