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Finding the Fourth Proportional to 2,716.62, 4,054.40 and 2,454.18

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Solution

The fourth proportional to 2,716.62, 4,054.40 and 2,454.18 is: 3,662.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,716.62 : 4,054.40 = 2,454.18 : x
  2. Step 2: Convert to fraction form
    2,716.62/4,054.40 = 2,454.18/x
  3. Step 3: Cross multiply
    2,716.62x = 4,054.40 × 2,454.18
  4. Step 4: Simplify right side
    2,716.62x = 9,950,227.39
  5. Step 5: Solve for x
    x = 9,950,227.39/2,716.62
  6. Step 6: Final answer
    x = 3,662.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.