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Finding the Fourth Proportional to 3,276.68, 4,913.10 and 2,249.48

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Solution

The fourth proportional to 3,276.68, 4,913.10 and 2,249.48 is: 3,372.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,276.68 : 4,913.10 = 2,249.48 : x
  2. Step 2: Convert to fraction form
    3,276.68/4,913.10 = 2,249.48/x
  3. Step 3: Cross multiply
    3,276.68x = 4,913.10 × 2,249.48
  4. Step 4: Simplify right side
    3,276.68x = 11,051,920.19
  5. Step 5: Solve for x
    x = 11,051,920.19/3,276.68
  6. Step 6: Final answer
    x = 3,372.90

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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.