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Finding the Fourth Proportional to 3,059.28, 4,221.82 and 1,733.24

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Solution

The fourth proportional to 3,059.28, 4,221.82 and 1,733.24 is: 2,391.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,059.28 : 4,221.82 = 1,733.24 : x
  2. Step 2: Convert to fraction form
    3,059.28/4,221.82 = 1,733.24/x
  3. Step 3: Cross multiply
    3,059.28x = 4,221.82 × 1,733.24
  4. Step 4: Simplify right side
    3,059.28x = 7,317,427.30
  5. Step 5: Solve for x
    x = 7,317,427.30/3,059.28
  6. Step 6: Final answer
    x = 2,391.88

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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.