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Finding the Fourth Proportional to 2,003.56, 3,005.82 and 833.20

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Solution

The fourth proportional to 2,003.56, 3,005.82 and 833.20 is: 1,250.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.56 : 3,005.82 = 833.20 : x
  2. Step 2: Convert to fraction form
    2,003.56/3,005.82 = 833.20/x
  3. Step 3: Cross multiply
    2,003.56x = 3,005.82 × 833.20
  4. Step 4: Simplify right side
    2,003.56x = 2,504,449.22
  5. Step 5: Solve for x
    x = 2,504,449.22/2,003.56
  6. Step 6: Final answer
    x = 1,250.00

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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.