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Finding the Fourth Proportional to 2,667.47, 3,999.13 and 911.34

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Solution

The fourth proportional to 2,667.47, 3,999.13 and 911.34 is: 1,366.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.47 : 3,999.13 = 911.34 : x
  2. Step 2: Convert to fraction form
    2,667.47/3,999.13 = 911.34/x
  3. Step 3: Cross multiply
    2,667.47x = 3,999.13 × 911.34
  4. Step 4: Simplify right side
    2,667.47x = 3,644,564.86
  5. Step 5: Solve for x
    x = 3,644,564.86/2,667.47
  6. Step 6: Final answer
    x = 1,366.30

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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.