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Finding the Fourth Proportional to 2,662.80, 4,002.84 and 2,649.84

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Solution

The fourth proportional to 2,662.80, 4,002.84 and 2,649.84 is: 3,983.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.80 : 4,002.84 = 2,649.84 : x
  2. Step 2: Convert to fraction form
    2,662.80/4,002.84 = 2,649.84/x
  3. Step 3: Cross multiply
    2,662.80x = 4,002.84 × 2,649.84
  4. Step 4: Simplify right side
    2,662.80x = 10,606,885.55
  5. Step 5: Solve for x
    x = 10,606,885.55/2,662.80
  6. Step 6: Final answer
    x = 3,983.36

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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.