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Finding the Fourth Proportional to 3,412.82, 5,121.21 and 1,952.99

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Solution

The fourth proportional to 3,412.82, 5,121.21 and 1,952.99 is: 2,930.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.82 : 5,121.21 = 1,952.99 : x
  2. Step 2: Convert to fraction form
    3,412.82/5,121.21 = 1,952.99/x
  3. Step 3: Cross multiply
    3,412.82x = 5,121.21 × 1,952.99
  4. Step 4: Simplify right side
    3,412.82x = 10,001,671.92
  5. Step 5: Solve for x
    x = 10,001,671.92/3,412.82
  6. Step 6: Final answer
    x = 2,930.62

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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.