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Finding the Fourth Proportional to 2,605.15, 3,906.55 and 1,617.93

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Solution

The fourth proportional to 2,605.15, 3,906.55 and 1,617.93 is: 2,426.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.15 : 3,906.55 = 1,617.93 : x
  2. Step 2: Convert to fraction form
    2,605.15/3,906.55 = 1,617.93/x
  3. Step 3: Cross multiply
    2,605.15x = 3,906.55 × 1,617.93
  4. Step 4: Simplify right side
    2,605.15x = 6,320,524.44
  5. Step 5: Solve for x
    x = 6,320,524.44/2,605.15
  6. Step 6: Final answer
    x = 2,426.17

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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.