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Finding the Fourth Proportional to 2,662.80, 3,674.75 and 1,467.87

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Solution

The fourth proportional to 2,662.80, 3,674.75 and 1,467.87 is: 2,025.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.80 : 3,674.75 = 1,467.87 : x
  2. Step 2: Convert to fraction form
    2,662.80/3,674.75 = 1,467.87/x
  3. Step 3: Cross multiply
    2,662.80x = 3,674.75 × 1,467.87
  4. Step 4: Simplify right side
    2,662.80x = 5,394,029.57
  5. Step 5: Solve for x
    x = 5,394,029.57/2,662.80
  6. Step 6: Final answer
    x = 2,025.70

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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.