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Finding the Fourth Proportional to 1,611.99, 2,218.10 and 1,563.84

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Solution

The fourth proportional to 1,611.99, 2,218.10 and 1,563.84 is: 2,151.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.99 : 2,218.10 = 1,563.84 : x
  2. Step 2: Convert to fraction form
    1,611.99/2,218.10 = 1,563.84/x
  3. Step 3: Cross multiply
    1,611.99x = 2,218.10 × 1,563.84
  4. Step 4: Simplify right side
    1,611.99x = 3,468,745.68
  5. Step 5: Solve for x
    x = 3,468,745.68/1,611.99
  6. Step 6: Final answer
    x = 2,151.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.