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Finding the Fourth Proportional to 2,134.42, 3,201.54 and 674.62

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Solution

The fourth proportional to 2,134.42, 3,201.54 and 674.62 is: 1,011.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.42 : 3,201.54 = 674.62 : x
  2. Step 2: Convert to fraction form
    2,134.42/3,201.54 = 674.62/x
  3. Step 3: Cross multiply
    2,134.42x = 3,201.54 × 674.62
  4. Step 4: Simplify right side
    2,134.42x = 2,159,822.91
  5. Step 5: Solve for x
    x = 2,159,822.91/2,134.42
  6. Step 6: Final answer
    x = 1,011.90

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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.