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Finding the Fourth Proportional to 3,122.80, 4,684.20 and 814.30

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Solution

The fourth proportional to 3,122.80, 4,684.20 and 814.30 is: 1,221.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.80 : 4,684.20 = 814.30 : x
  2. Step 2: Convert to fraction form
    3,122.80/4,684.20 = 814.30/x
  3. Step 3: Cross multiply
    3,122.80x = 4,684.20 × 814.30
  4. Step 4: Simplify right side
    3,122.80x = 3,814,344.06
  5. Step 5: Solve for x
    x = 3,814,344.06/3,122.80
  6. Step 6: Final answer
    x = 1,221.45

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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.