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Finding the Fourth Proportional to 2,855.22, 4,282.33 and 774.95

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Solution

The fourth proportional to 2,855.22, 4,282.33 and 774.95 is: 1,162.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.22 : 4,282.33 = 774.95 : x
  2. Step 2: Convert to fraction form
    2,855.22/4,282.33 = 774.95/x
  3. Step 3: Cross multiply
    2,855.22x = 4,282.33 × 774.95
  4. Step 4: Simplify right side
    2,855.22x = 3,318,591.63
  5. Step 5: Solve for x
    x = 3,318,591.63/2,855.22
  6. Step 6: Final answer
    x = 1,162.29

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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.