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Finding the Fourth Proportional to 2,731.16, 3,768.18 and 1,682.84

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Solution

The fourth proportional to 2,731.16, 3,768.18 and 1,682.84 is: 2,321.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.16 : 3,768.18 = 1,682.84 : x
  2. Step 2: Convert to fraction form
    2,731.16/3,768.18 = 1,682.84/x
  3. Step 3: Cross multiply
    2,731.16x = 3,768.18 × 1,682.84
  4. Step 4: Simplify right side
    2,731.16x = 6,341,244.03
  5. Step 5: Solve for x
    x = 6,341,244.03/2,731.16
  6. Step 6: Final answer
    x = 2,321.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.