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Finding the Fourth Proportional to 2,203.97, 3,300.02 and 1,161.80

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Solution

The fourth proportional to 2,203.97, 3,300.02 and 1,161.80 is: 1,739.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.97 : 3,300.02 = 1,161.80 : x
  2. Step 2: Convert to fraction form
    2,203.97/3,300.02 = 1,161.80/x
  3. Step 3: Cross multiply
    2,203.97x = 3,300.02 × 1,161.80
  4. Step 4: Simplify right side
    2,203.97x = 3,833,964.19
  5. Step 5: Solve for x
    x = 3,833,964.19/2,203.97
  6. Step 6: Final answer
    x = 1,739.58

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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.