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Finding the Fourth Proportional to 2,616.62, 3,609.04 and 1,659.20

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Solution

The fourth proportional to 2,616.62, 3,609.04 and 1,659.20 is: 2,288.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.62 : 3,609.04 = 1,659.20 : x
  2. Step 2: Convert to fraction form
    2,616.62/3,609.04 = 1,659.20/x
  3. Step 3: Cross multiply
    2,616.62x = 3,609.04 × 1,659.20
  4. Step 4: Simplify right side
    2,616.62x = 5,988,119.17
  5. Step 5: Solve for x
    x = 5,988,119.17/2,616.62
  6. Step 6: Final answer
    x = 2,288.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.