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Finding the Fourth Proportional to 2,556, 3,834.68 and 824.67

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Solution

The fourth proportional to 2,556, 3,834.68 and 824.67 is: 1,237.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556 : 3,834.68 = 824.67 : x
  2. Step 2: Convert to fraction form
    2,556/3,834.68 = 824.67/x
  3. Step 3: Cross multiply
    2,556x = 3,834.68 × 824.67
  4. Step 4: Simplify right side
    2,556x = 3,162,341.43
  5. Step 5: Solve for x
    x = 3,162,341.43/2,556
  6. Step 6: Final answer
    x = 1,237.22

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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.