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Finding the Fourth Proportional to 2,305.92, 3,461.12 and 2,181.06

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Solution

The fourth proportional to 2,305.92, 3,461.12 and 2,181.06 is: 3,273.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.92 : 3,461.12 = 2,181.06 : x
  2. Step 2: Convert to fraction form
    2,305.92/3,461.12 = 2,181.06/x
  3. Step 3: Cross multiply
    2,305.92x = 3,461.12 × 2,181.06
  4. Step 4: Simplify right side
    2,305.92x = 7,548,910.39
  5. Step 5: Solve for x
    x = 7,548,910.39/2,305.92
  6. Step 6: Final answer
    x = 3,273.71

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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.