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Finding the Fourth Proportional to 2,727.16, 3,760.16 and 2,306.76

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Solution

The fourth proportional to 2,727.16, 3,760.16 and 2,306.76 is: 3,180.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727.16 : 3,760.16 = 2,306.76 : x
  2. Step 2: Convert to fraction form
    2,727.16/3,760.16 = 2,306.76/x
  3. Step 3: Cross multiply
    2,727.16x = 3,760.16 × 2,306.76
  4. Step 4: Simplify right side
    2,727.16x = 8,673,786.68
  5. Step 5: Solve for x
    x = 8,673,786.68/2,727.16
  6. Step 6: Final answer
    x = 3,180.52

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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.