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Finding the Fourth Proportional to 3,663, 5,494.50 and 1,611

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Solution

The fourth proportional to 3,663, 5,494.50 and 1,611 is: 2,416.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663 : 5,494.50 = 1,611 : x
  2. Step 2: Convert to fraction form
    3,663/5,494.50 = 1,611/x
  3. Step 3: Cross multiply
    3,663x = 5,494.50 × 1,611
  4. Step 4: Simplify right side
    3,663x = 8,851,639.50
  5. Step 5: Solve for x
    x = 8,851,639.50/3,663
  6. Step 6: Final answer
    x = 2,416.50

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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.