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Finding the Fourth Proportional to 3,182.35, 4,392.20 and 2,003.80

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Solution

The fourth proportional to 3,182.35, 4,392.20 and 2,003.80 is: 2,765.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.35 : 4,392.20 = 2,003.80 : x
  2. Step 2: Convert to fraction form
    3,182.35/4,392.20 = 2,003.80/x
  3. Step 3: Cross multiply
    3,182.35x = 4,392.20 × 2,003.80
  4. Step 4: Simplify right side
    3,182.35x = 8,801,090.36
  5. Step 5: Solve for x
    x = 8,801,090.36/3,182.35
  6. Step 6: Final answer
    x = 2,765.59

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