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Finding the Fourth Proportional to 3,204.65, 4,798.29 and 1,662.41

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Solution

The fourth proportional to 3,204.65, 4,798.29 and 1,662.41 is: 2,489.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.65 : 4,798.29 = 1,662.41 : x
  2. Step 2: Convert to fraction form
    3,204.65/4,798.29 = 1,662.41/x
  3. Step 3: Cross multiply
    3,204.65x = 4,798.29 × 1,662.41
  4. Step 4: Simplify right side
    3,204.65x = 7,976,725.28
  5. Step 5: Solve for x
    x = 7,976,725.28/3,204.65
  6. Step 6: Final answer
    x = 2,489.11

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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.