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Finding the Fourth Proportional to 3,460.97, 4,775.67 and 1,968.61

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Solution

The fourth proportional to 3,460.97, 4,775.67 and 1,968.61 is: 2,716.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.97 : 4,775.67 = 1,968.61 : x
  2. Step 2: Convert to fraction form
    3,460.97/4,775.67 = 1,968.61/x
  3. Step 3: Cross multiply
    3,460.97x = 4,775.67 × 1,968.61
  4. Step 4: Simplify right side
    3,460.97x = 9,401,431.72
  5. Step 5: Solve for x
    x = 9,401,431.72/3,460.97
  6. Step 6: Final answer
    x = 2,716.42

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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.