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Finding the Fourth Proportional to 2,523.33, 3,785.36 and 674.51

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Solution

The fourth proportional to 2,523.33, 3,785.36 and 674.51 is: 1,011.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.33 : 3,785.36 = 674.51 : x
  2. Step 2: Convert to fraction form
    2,523.33/3,785.36 = 674.51/x
  3. Step 3: Cross multiply
    2,523.33x = 3,785.36 × 674.51
  4. Step 4: Simplify right side
    2,523.33x = 2,553,240.87
  5. Step 5: Solve for x
    x = 2,553,240.87/2,523.33
  6. Step 6: Final answer
    x = 1,011.85

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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.