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Finding the Fourth Proportional to 2,586.80, 3,880.96 and 855.52

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Solution

The fourth proportional to 2,586.80, 3,880.96 and 855.52 is: 1,283.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.80 : 3,880.96 = 855.52 : x
  2. Step 2: Convert to fraction form
    2,586.80/3,880.96 = 855.52/x
  3. Step 3: Cross multiply
    2,586.80x = 3,880.96 × 855.52
  4. Step 4: Simplify right side
    2,586.80x = 3,320,238.90
  5. Step 5: Solve for x
    x = 3,320,238.90/2,586.80
  6. Step 6: Final answer
    x = 1,283.53

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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.