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Finding the Fourth Proportional to 3,200.26, 4,797.09 and 1,736.32

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Solution

The fourth proportional to 3,200.26, 4,797.09 and 1,736.32 is: 2,602.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.26 : 4,797.09 = 1,736.32 : x
  2. Step 2: Convert to fraction form
    3,200.26/4,797.09 = 1,736.32/x
  3. Step 3: Cross multiply
    3,200.26x = 4,797.09 × 1,736.32
  4. Step 4: Simplify right side
    3,200.26x = 8,329,283.31
  5. Step 5: Solve for x
    x = 8,329,283.31/3,200.26
  6. Step 6: Final answer
    x = 2,602.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.