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Finding the Fourth Proportional to 3,202.58, 4,800.77 and 1,643.32

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Solution

The fourth proportional to 3,202.58, 4,800.77 and 1,643.32 is: 2,463.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.58 : 4,800.77 = 1,643.32 : x
  2. Step 2: Convert to fraction form
    3,202.58/4,800.77 = 1,643.32/x
  3. Step 3: Cross multiply
    3,202.58x = 4,800.77 × 1,643.32
  4. Step 4: Simplify right side
    3,202.58x = 7,889,201.36
  5. Step 5: Solve for x
    x = 7,889,201.36/3,202.58
  6. Step 6: Final answer
    x = 2,463.39

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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.