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Finding the Fourth Proportional to 2,667.92, 4,001.90 and 2,664.08

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Solution

The fourth proportional to 2,667.92, 4,001.90 and 2,664.08 is: 3,996.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.92 : 4,001.90 = 2,664.08 : x
  2. Step 2: Convert to fraction form
    2,667.92/4,001.90 = 2,664.08/x
  3. Step 3: Cross multiply
    2,667.92x = 4,001.90 × 2,664.08
  4. Step 4: Simplify right side
    2,667.92x = 10,661,381.75
  5. Step 5: Solve for x
    x = 10,661,381.75/2,667.92
  6. Step 6: Final answer
    x = 3,996.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.