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Finding the Fourth Proportional to 2,834.73, 4,252.68 and 860.54

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Solution

The fourth proportional to 2,834.73, 4,252.68 and 860.54 is: 1,290.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.73 : 4,252.68 = 860.54 : x
  2. Step 2: Convert to fraction form
    2,834.73/4,252.68 = 860.54/x
  3. Step 3: Cross multiply
    2,834.73x = 4,252.68 × 860.54
  4. Step 4: Simplify right side
    2,834.73x = 3,659,579.98
  5. Step 5: Solve for x
    x = 3,659,579.98/2,834.73
  6. Step 6: Final answer
    x = 1,290.98

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1.5x scale

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.