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Finding the Fourth Proportional to 2,312.80, 3,469.43 and 851.77

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Solution

The fourth proportional to 2,312.80, 3,469.43 and 851.77 is: 1,277.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.80 : 3,469.43 = 851.77 : x
  2. Step 2: Convert to fraction form
    2,312.80/3,469.43 = 851.77/x
  3. Step 3: Cross multiply
    2,312.80x = 3,469.43 × 851.77
  4. Step 4: Simplify right side
    2,312.80x = 2,955,143.34
  5. Step 5: Solve for x
    x = 2,955,143.34/2,312.80
  6. Step 6: Final answer
    x = 1,277.73

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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.