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Finding the Fourth Proportional to 3,235.86, 4,855.23 and 1,696.50

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Solution

The fourth proportional to 3,235.86, 4,855.23 and 1,696.50 is: 2,545.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,235.86 : 4,855.23 = 1,696.50 : x
  2. Step 2: Convert to fraction form
    3,235.86/4,855.23 = 1,696.50/x
  3. Step 3: Cross multiply
    3,235.86x = 4,855.23 × 1,696.50
  4. Step 4: Simplify right side
    3,235.86x = 8,236,897.70
  5. Step 5: Solve for x
    x = 8,236,897.70/3,235.86
  6. Step 6: Final answer
    x = 2,545.50

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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.