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Finding the Fourth Proportional to 2,965.70, 4,093.29 and 2,467.85

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Solution

The fourth proportional to 2,965.70, 4,093.29 and 2,467.85 is: 3,406.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.70 : 4,093.29 = 2,467.85 : x
  2. Step 2: Convert to fraction form
    2,965.70/4,093.29 = 2,467.85/x
  3. Step 3: Cross multiply
    2,965.70x = 4,093.29 × 2,467.85
  4. Step 4: Simplify right side
    2,965.70x = 10,101,635.96
  5. Step 5: Solve for x
    x = 10,101,635.96/2,965.70
  6. Step 6: Final answer
    x = 3,406.16

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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.