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Finding the Fourth Proportional to 3,180.35, 4,388.79 and 1,764.03

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Solution

The fourth proportional to 3,180.35, 4,388.79 and 1,764.03 is: 2,434.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180.35 : 4,388.79 = 1,764.03 : x
  2. Step 2: Convert to fraction form
    3,180.35/4,388.79 = 1,764.03/x
  3. Step 3: Cross multiply
    3,180.35x = 4,388.79 × 1,764.03
  4. Step 4: Simplify right side
    3,180.35x = 7,741,980.30
  5. Step 5: Solve for x
    x = 7,741,980.30/3,180.35
  6. Step 6: Final answer
    x = 2,434.32

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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.