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Finding the Fourth Proportional to 2,655.76, 3,983.11 and 2,524.05

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Solution

The fourth proportional to 2,655.76, 3,983.11 and 2,524.05 is: 3,785.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.76 : 3,983.11 = 2,524.05 : x
  2. Step 2: Convert to fraction form
    2,655.76/3,983.11 = 2,524.05/x
  3. Step 3: Cross multiply
    2,655.76x = 3,983.11 × 2,524.05
  4. Step 4: Simplify right side
    2,655.76x = 10,053,568.80
  5. Step 5: Solve for x
    x = 10,053,568.80/2,655.76
  6. Step 6: Final answer
    x = 3,785.57

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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.