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Finding the Fourth Proportional to 1,611.89, 2,414.50 and 776.47

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Solution

The fourth proportional to 1,611.89, 2,414.50 and 776.47 is: 1,163.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.89 : 2,414.50 = 776.47 : x
  2. Step 2: Convert to fraction form
    1,611.89/2,414.50 = 776.47/x
  3. Step 3: Cross multiply
    1,611.89x = 2,414.50 × 776.47
  4. Step 4: Simplify right side
    1,611.89x = 1,874,786.82
  5. Step 5: Solve for x
    x = 1,874,786.82/1,611.89
  6. Step 6: Final answer
    x = 1,163.10

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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.