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Finding the Fourth Proportional to 3,203.28, 4,420.04 and 1,805.76

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Solution

The fourth proportional to 3,203.28, 4,420.04 and 1,805.76 is: 2,491.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.28 : 4,420.04 = 1,805.76 : x
  2. Step 2: Convert to fraction form
    3,203.28/4,420.04 = 1,805.76/x
  3. Step 3: Cross multiply
    3,203.28x = 4,420.04 × 1,805.76
  4. Step 4: Simplify right side
    3,203.28x = 7,981,531.43
  5. Step 5: Solve for x
    x = 7,981,531.43/3,203.28
  6. Step 6: Final answer
    x = 2,491.67

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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.