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Finding the Fourth Proportional to 2,660.56, 3,667.92 and 2,242.60

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Solution

The fourth proportional to 2,660.56, 3,667.92 and 2,242.60 is: 3,091.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.56 : 3,667.92 = 2,242.60 : x
  2. Step 2: Convert to fraction form
    2,660.56/3,667.92 = 2,242.60/x
  3. Step 3: Cross multiply
    2,660.56x = 3,667.92 × 2,242.60
  4. Step 4: Simplify right side
    2,660.56x = 8,225,677.39
  5. Step 5: Solve for x
    x = 8,225,677.39/2,660.56
  6. Step 6: Final answer
    x = 3,091.71

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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.