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Finding the Fourth Proportional to 1,608.99, 2,221.06 and 1,361.60

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Solution

The fourth proportional to 1,608.99, 2,221.06 and 1,361.60 is: 1,879.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.99 : 2,221.06 = 1,361.60 : x
  2. Step 2: Convert to fraction form
    1,608.99/2,221.06 = 1,361.60/x
  3. Step 3: Cross multiply
    1,608.99x = 2,221.06 × 1,361.60
  4. Step 4: Simplify right side
    1,608.99x = 3,024,180.79
  5. Step 5: Solve for x
    x = 3,024,180.79/1,608.99
  6. Step 6: Final answer
    x = 1,879.55

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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.