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Finding the Fourth Proportional to 4,433, 6,649.82 and 1,697

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Solution

The fourth proportional to 4,433, 6,649.82 and 1,697 is: 2,545.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,433 : 6,649.82 = 1,697 : x
  2. Step 2: Convert to fraction form
    4,433/6,649.82 = 1,697/x
  3. Step 3: Cross multiply
    4,433x = 6,649.82 × 1,697
  4. Step 4: Simplify right side
    4,433x = 11,284,744.54
  5. Step 5: Solve for x
    x = 11,284,744.54/4,433
  6. Step 6: Final answer
    x = 2,545.62

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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.