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Finding the Fourth Proportional to 2,664.28, 3,676.08 and 1,616.14

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Solution

The fourth proportional to 2,664.28, 3,676.08 and 1,616.14 is: 2,229.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,664.28 : 3,676.08 = 1,616.14 : x
  2. Step 2: Convert to fraction form
    2,664.28/3,676.08 = 1,616.14/x
  3. Step 3: Cross multiply
    2,664.28x = 3,676.08 × 1,616.14
  4. Step 4: Simplify right side
    2,664.28x = 5,941,059.93
  5. Step 5: Solve for x
    x = 5,941,059.93/2,664.28
  6. Step 6: Final answer
    x = 2,229.89

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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.