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Finding the Fourth Proportional to 2,782.67, 4,174.64 and 834.91

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Solution

The fourth proportional to 2,782.67, 4,174.64 and 834.91 is: 1,252.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.67 : 4,174.64 = 834.91 : x
  2. Step 2: Convert to fraction form
    2,782.67/4,174.64 = 834.91/x
  3. Step 3: Cross multiply
    2,782.67x = 4,174.64 × 834.91
  4. Step 4: Simplify right side
    2,782.67x = 3,485,450.77
  5. Step 5: Solve for x
    x = 3,485,450.77/2,782.67
  6. Step 6: Final answer
    x = 1,252.56

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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.