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Finding the Fourth Proportional to 3,204.77, 4,805.45 and 1,644.14

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Solution

The fourth proportional to 3,204.77, 4,805.45 and 1,644.14 is: 2,465.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.77 : 4,805.45 = 1,644.14 : x
  2. Step 2: Convert to fraction form
    3,204.77/4,805.45 = 1,644.14/x
  3. Step 3: Cross multiply
    3,204.77x = 4,805.45 × 1,644.14
  4. Step 4: Simplify right side
    3,204.77x = 7,900,800.32
  5. Step 5: Solve for x
    x = 7,900,800.32/3,204.77
  6. Step 6: Final answer
    x = 2,465.33

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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.