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Finding the Fourth Proportional to 2,960.71, 4,085.70 and 1,634.39

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Solution

The fourth proportional to 2,960.71, 4,085.70 and 1,634.39 is: 2,255.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960.71 : 4,085.70 = 1,634.39 : x
  2. Step 2: Convert to fraction form
    2,960.71/4,085.70 = 1,634.39/x
  3. Step 3: Cross multiply
    2,960.71x = 4,085.70 × 1,634.39
  4. Step 4: Simplify right side
    2,960.71x = 6,677,627.22
  5. Step 5: Solve for x
    x = 6,677,627.22/2,960.71
  6. Step 6: Final answer
    x = 2,255.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.