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Finding the Fourth Proportional to 1,604.00, 2,212.21 and 1,595.80

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Solution

The fourth proportional to 1,604.00, 2,212.21 and 1,595.80 is: 2,200.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.00 : 2,212.21 = 1,595.80 : x
  2. Step 2: Convert to fraction form
    1,604.00/2,212.21 = 1,595.80/x
  3. Step 3: Cross multiply
    1,604.00x = 2,212.21 × 1,595.80
  4. Step 4: Simplify right side
    1,604.00x = 3,530,249.48
  5. Step 5: Solve for x
    x = 3,530,249.48/1,604.00
  6. Step 6: Final answer
    x = 2,200.90

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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.