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Finding the Fourth Proportional to 2,616.52, 3,926.69 and 2,002

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Solution

The fourth proportional to 2,616.52, 3,926.69 and 2,002 is: 3,004.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.52 : 3,926.69 = 2,002 : x
  2. Step 2: Convert to fraction form
    2,616.52/3,926.69 = 2,002/x
  3. Step 3: Cross multiply
    2,616.52x = 3,926.69 × 2,002
  4. Step 4: Simplify right side
    2,616.52x = 7,861,233.38
  5. Step 5: Solve for x
    x = 7,861,233.38/2,616.52
  6. Step 6: Final answer
    x = 3,004.46

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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.