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Finding the Fourth Proportional to 2,309.97, 3,460.05 and 2,144.73

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Solution

The fourth proportional to 2,309.97, 3,460.05 and 2,144.73 is: 3,212.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.97 : 3,460.05 = 2,144.73 : x
  2. Step 2: Convert to fraction form
    2,309.97/3,460.05 = 2,144.73/x
  3. Step 3: Cross multiply
    2,309.97x = 3,460.05 × 2,144.73
  4. Step 4: Simplify right side
    2,309.97x = 7,420,873.04
  5. Step 5: Solve for x
    x = 7,420,873.04/2,309.97
  6. Step 6: Final answer
    x = 3,212.54

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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.