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Finding the Fourth Proportional to 3,159.26, 4,734.76 and 1,696.70

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Solution

The fourth proportional to 3,159.26, 4,734.76 and 1,696.70 is: 2,542.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159.26 : 4,734.76 = 1,696.70 : x
  2. Step 2: Convert to fraction form
    3,159.26/4,734.76 = 1,696.70/x
  3. Step 3: Cross multiply
    3,159.26x = 4,734.76 × 1,696.70
  4. Step 4: Simplify right side
    3,159.26x = 8,033,467.29
  5. Step 5: Solve for x
    x = 8,033,467.29/3,159.26
  6. Step 6: Final answer
    x = 2,542.83

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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.