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Finding the Fourth Proportional to 2,667.84, 3,996.32 and 2,176

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Solution

The fourth proportional to 2,667.84, 3,996.32 and 2,176 is: 3,259.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.84 : 3,996.32 = 2,176 : x
  2. Step 2: Convert to fraction form
    2,667.84/3,996.32 = 2,176/x
  3. Step 3: Cross multiply
    2,667.84x = 3,996.32 × 2,176
  4. Step 4: Simplify right side
    2,667.84x = 8,695,992.32
  5. Step 5: Solve for x
    x = 8,695,992.32/2,667.84
  6. Step 6: Final answer
    x = 3,259.56

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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.