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Finding the Fourth Proportional to 2,754.56, 3,790.01 and 2,380.34

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Solution

The fourth proportional to 2,754.56, 3,790.01 and 2,380.34 is: 3,275.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.56 : 3,790.01 = 2,380.34 : x
  2. Step 2: Convert to fraction form
    2,754.56/3,790.01 = 2,380.34/x
  3. Step 3: Cross multiply
    2,754.56x = 3,790.01 × 2,380.34
  4. Step 4: Simplify right side
    2,754.56x = 9,021,481.55
  5. Step 5: Solve for x
    x = 9,021,481.55/2,754.56
  6. Step 6: Final answer
    x = 3,275.11

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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.