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Finding the Fourth Proportional to 3,122.74, 4,684.39 and 814.26

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Solution

The fourth proportional to 3,122.74, 4,684.39 and 814.26 is: 1,221.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.74 : 4,684.39 = 814.26 : x
  2. Step 2: Convert to fraction form
    3,122.74/4,684.39 = 814.26/x
  3. Step 3: Cross multiply
    3,122.74x = 4,684.39 × 814.26
  4. Step 4: Simplify right side
    3,122.74x = 3,814,311.40
  5. Step 5: Solve for x
    x = 3,814,311.40/3,122.74
  6. Step 6: Final answer
    x = 1,221.46

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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.