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Finding the Fourth Proportional to 2,144.54, 3,216.77 and 683.67

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Solution

The fourth proportional to 2,144.54, 3,216.77 and 683.67 is: 1,025.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.54 : 3,216.77 = 683.67 : x
  2. Step 2: Convert to fraction form
    2,144.54/3,216.77 = 683.67/x
  3. Step 3: Cross multiply
    2,144.54x = 3,216.77 × 683.67
  4. Step 4: Simplify right side
    2,144.54x = 2,199,209.15
  5. Step 5: Solve for x
    x = 2,199,209.15/2,144.54
  6. Step 6: Final answer
    x = 1,025.49

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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.