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Finding the Fourth Proportional to 2,672, 3,682 and 2,661.76

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Solution

The fourth proportional to 2,672, 3,682 and 2,661.76 is: 3,667.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672 : 3,682 = 2,661.76 : x
  2. Step 2: Convert to fraction form
    2,672/3,682 = 2,661.76/x
  3. Step 3: Cross multiply
    2,672x = 3,682 × 2,661.76
  4. Step 4: Simplify right side
    2,672x = 9,800,600.32
  5. Step 5: Solve for x
    x = 9,800,600.32/2,672
  6. Step 6: Final answer
    x = 3,667.89

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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.