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Finding the Fourth Proportional to 2,523.14, 3,784.42 and 674.21

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Solution

The fourth proportional to 2,523.14, 3,784.42 and 674.21 is: 1,011.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.14 : 3,784.42 = 674.21 : x
  2. Step 2: Convert to fraction form
    2,523.14/3,784.42 = 674.21/x
  3. Step 3: Cross multiply
    2,523.14x = 3,784.42 × 674.21
  4. Step 4: Simplify right side
    2,523.14x = 2,551,498.79
  5. Step 5: Solve for x
    x = 2,551,498.79/2,523.14
  6. Step 6: Final answer
    x = 1,011.24

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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.