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Finding the Fourth Proportional to 3,322.70, 4,984.35 and 857.53

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Solution

The fourth proportional to 3,322.70, 4,984.35 and 857.53 is: 1,286.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322.70 : 4,984.35 = 857.53 : x
  2. Step 2: Convert to fraction form
    3,322.70/4,984.35 = 857.53/x
  3. Step 3: Cross multiply
    3,322.70x = 4,984.35 × 857.53
  4. Step 4: Simplify right side
    3,322.70x = 4,274,229.66
  5. Step 5: Solve for x
    x = 4,274,229.66/3,322.70
  6. Step 6: Final answer
    x = 1,286.37

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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.