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Finding the Fourth Proportional to 3,203.96, 4,805.16 and 1,643.15

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Solution

The fourth proportional to 3,203.96, 4,805.16 and 1,643.15 is: 2,464.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.96 : 4,805.16 = 1,643.15 : x
  2. Step 2: Convert to fraction form
    3,203.96/4,805.16 = 1,643.15/x
  3. Step 3: Cross multiply
    3,203.96x = 4,805.16 × 1,643.15
  4. Step 4: Simplify right side
    3,203.96x = 7,895,574.63
  5. Step 5: Solve for x
    x = 7,895,574.63/3,203.96
  6. Step 6: Final answer
    x = 2,464.32

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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.