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Finding the Fourth Proportional to 2,451, 3,676.50 and 2,327.96

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Solution

The fourth proportional to 2,451, 3,676.50 and 2,327.96 is: 3,491.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451 : 3,676.50 = 2,327.96 : x
  2. Step 2: Convert to fraction form
    2,451/3,676.50 = 2,327.96/x
  3. Step 3: Cross multiply
    2,451x = 3,676.50 × 2,327.96
  4. Step 4: Simplify right side
    2,451x = 8,558,744.94
  5. Step 5: Solve for x
    x = 8,558,744.94/2,451
  6. Step 6: Final answer
    x = 3,491.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.