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Finding the Fourth Proportional to 2,726.16, 4,086 and 1,899.96

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Solution

The fourth proportional to 2,726.16, 4,086 and 1,899.96 is: 2,847.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.16 : 4,086 = 1,899.96 : x
  2. Step 2: Convert to fraction form
    2,726.16/4,086 = 1,899.96/x
  3. Step 3: Cross multiply
    2,726.16x = 4,086 × 1,899.96
  4. Step 4: Simplify right side
    2,726.16x = 7,763,236.56
  5. Step 5: Solve for x
    x = 7,763,236.56/2,726.16
  6. Step 6: Final answer
    x = 2,847.68

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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.