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Finding the Fourth Proportional to 3,422.73, 4,723.29 and 1,930.68

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Solution

The fourth proportional to 3,422.73, 4,723.29 and 1,930.68 is: 2,664.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.73 : 4,723.29 = 1,930.68 : x
  2. Step 2: Convert to fraction form
    3,422.73/4,723.29 = 1,930.68/x
  3. Step 3: Cross multiply
    3,422.73x = 4,723.29 × 1,930.68
  4. Step 4: Simplify right side
    3,422.73x = 9,119,161.54
  5. Step 5: Solve for x
    x = 9,119,161.54/3,422.73
  6. Step 6: Final answer
    x = 2,664.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.