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Finding the Fourth Proportional to 4,162.80, 6,244.04 and 1,696.90

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Solution

The fourth proportional to 4,162.80, 6,244.04 and 1,696.90 is: 2,545.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162.80 : 6,244.04 = 1,696.90 : x
  2. Step 2: Convert to fraction form
    4,162.80/6,244.04 = 1,696.90/x
  3. Step 3: Cross multiply
    4,162.80x = 6,244.04 × 1,696.90
  4. Step 4: Simplify right side
    4,162.80x = 10,595,511.48
  5. Step 5: Solve for x
    x = 10,595,511.48/4,162.80
  6. Step 6: Final answer
    x = 2,545.28

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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.