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Finding the Fourth Proportional to 2,135.68, 3,204.09 and 674.86

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Solution

The fourth proportional to 2,135.68, 3,204.09 and 674.86 is: 1,012.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.68 : 3,204.09 = 674.86 : x
  2. Step 2: Convert to fraction form
    2,135.68/3,204.09 = 674.86/x
  3. Step 3: Cross multiply
    2,135.68x = 3,204.09 × 674.86
  4. Step 4: Simplify right side
    2,135.68x = 2,162,312.18
  5. Step 5: Solve for x
    x = 2,162,312.18/2,135.68
  6. Step 6: Final answer
    x = 1,012.47

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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.