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Finding the Fourth Proportional to 2,467.00, 3,406.67 and 2,294.78

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Solution

The fourth proportional to 2,467.00, 3,406.67 and 2,294.78 is: 3,168.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.00 : 3,406.67 = 2,294.78 : x
  2. Step 2: Convert to fraction form
    2,467.00/3,406.67 = 2,294.78/x
  3. Step 3: Cross multiply
    2,467.00x = 3,406.67 × 2,294.78
  4. Step 4: Simplify right side
    2,467.00x = 7,817,546.89
  5. Step 5: Solve for x
    x = 7,817,546.89/2,467.00
  6. Step 6: Final answer
    x = 3,168.85

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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.