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Finding the Fourth Proportional to 2,605.28, 3,906.08 and 1,617.48

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Solution

The fourth proportional to 2,605.28, 3,906.08 and 1,617.48 is: 2,425.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.28 : 3,906.08 = 1,617.48 : x
  2. Step 2: Convert to fraction form
    2,605.28/3,906.08 = 1,617.48/x
  3. Step 3: Cross multiply
    2,605.28x = 3,906.08 × 1,617.48
  4. Step 4: Simplify right side
    2,605.28x = 6,318,006.28
  5. Step 5: Solve for x
    x = 6,318,006.28/2,605.28
  6. Step 6: Final answer
    x = 2,425.08

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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.