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Finding the Fourth Proportional to 2,135.49, 3,200.46 and 1,094.61

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Solution

The fourth proportional to 2,135.49, 3,200.46 and 1,094.61 is: 1,640.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.49 : 3,200.46 = 1,094.61 : x
  2. Step 2: Convert to fraction form
    2,135.49/3,200.46 = 1,094.61/x
  3. Step 3: Cross multiply
    2,135.49x = 3,200.46 × 1,094.61
  4. Step 4: Simplify right side
    2,135.49x = 3,503,255.52
  5. Step 5: Solve for x
    x = 3,503,255.52/2,135.49
  6. Step 6: Final answer
    x = 1,640.49

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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.