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Finding the Fourth Proportional to 3,206.84, 4,809.45 and 1,645.97

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Solution

The fourth proportional to 3,206.84, 4,809.45 and 1,645.97 is: 2,468.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.84 : 4,809.45 = 1,645.97 : x
  2. Step 2: Convert to fraction form
    3,206.84/4,809.45 = 1,645.97/x
  3. Step 3: Cross multiply
    3,206.84x = 4,809.45 × 1,645.97
  4. Step 4: Simplify right side
    3,206.84x = 7,916,210.42
  5. Step 5: Solve for x
    x = 7,916,210.42/3,206.84
  6. Step 6: Final answer
    x = 2,468.54

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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.