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Finding the Fourth Proportional to 2,446.26, 3,671.22 and 1,965.12

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Solution

The fourth proportional to 2,446.26, 3,671.22 and 1,965.12 is: 2,949.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.26 : 3,671.22 = 1,965.12 : x
  2. Step 2: Convert to fraction form
    2,446.26/3,671.22 = 1,965.12/x
  3. Step 3: Cross multiply
    2,446.26x = 3,671.22 × 1,965.12
  4. Step 4: Simplify right side
    2,446.26x = 7,214,387.85
  5. Step 5: Solve for x
    x = 7,214,387.85/2,446.26
  6. Step 6: Final answer
    x = 2,949.15

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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.