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Finding the Fourth Proportional to 2,051, 3,077 and 683

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Solution

The fourth proportional to 2,051, 3,077 and 683 is: 1,024.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051 : 3,077 = 683 : x
  2. Step 2: Convert to fraction form
    2,051/3,077 = 683/x
  3. Step 3: Cross multiply
    2,051x = 3,077 × 683
  4. Step 4: Simplify right side
    2,051x = 2,101,591
  5. Step 5: Solve for x
    x = 2,101,591/2,051
  6. Step 6: Final answer
    x = 1,024.67

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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.