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Finding the Fourth Proportional to 3,163.26, 4,744.88 and 854.76

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Solution

The fourth proportional to 3,163.26, 4,744.88 and 854.76 is: 1,282.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.26 : 4,744.88 = 854.76 : x
  2. Step 2: Convert to fraction form
    3,163.26/4,744.88 = 854.76/x
  3. Step 3: Cross multiply
    3,163.26x = 4,744.88 × 854.76
  4. Step 4: Simplify right side
    3,163.26x = 4,055,733.63
  5. Step 5: Solve for x
    x = 4,055,733.63/3,163.26
  6. Step 6: Final answer
    x = 1,282.14

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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.