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Finding the Fourth Proportional to 3,209.53, 4,805.60 and 1,667.29

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Solution

The fourth proportional to 3,209.53, 4,805.60 and 1,667.29 is: 2,496.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.53 : 4,805.60 = 1,667.29 : x
  2. Step 2: Convert to fraction form
    3,209.53/4,805.60 = 1,667.29/x
  3. Step 3: Cross multiply
    3,209.53x = 4,805.60 × 1,667.29
  4. Step 4: Simplify right side
    3,209.53x = 8,012,328.82
  5. Step 5: Solve for x
    x = 8,012,328.82/3,209.53
  6. Step 6: Final answer
    x = 2,496.42

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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.