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Finding the Fourth Proportional to 3,122.96, 4,684.39 and 814.46

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Solution

The fourth proportional to 3,122.96, 4,684.39 and 814.46 is: 1,221.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.96 : 4,684.39 = 814.46 : x
  2. Step 2: Convert to fraction form
    3,122.96/4,684.39 = 814.46/x
  3. Step 3: Cross multiply
    3,122.96x = 4,684.39 × 814.46
  4. Step 4: Simplify right side
    3,122.96x = 3,815,248.28
  5. Step 5: Solve for x
    x = 3,815,248.28/3,122.96
  6. Step 6: Final answer
    x = 1,221.68

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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.