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Finding the Fourth Proportional to 2,544, 3,817.44 and 1,176

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Solution

The fourth proportional to 2,544, 3,817.44 and 1,176 is: 1,764.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,544 : 3,817.44 = 1,176 : x
  2. Step 2: Convert to fraction form
    2,544/3,817.44 = 1,176/x
  3. Step 3: Cross multiply
    2,544x = 3,817.44 × 1,176
  4. Step 4: Simplify right side
    2,544x = 4,489,309.44
  5. Step 5: Solve for x
    x = 4,489,309.44/2,544
  6. Step 6: Final answer
    x = 1,764.67

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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.