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Finding the Fourth Proportional to 2,610.97, 3,914.52 and 967.21

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Solution

The fourth proportional to 2,610.97, 3,914.52 and 967.21 is: 1,450.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.97 : 3,914.52 = 967.21 : x
  2. Step 2: Convert to fraction form
    2,610.97/3,914.52 = 967.21/x
  3. Step 3: Cross multiply
    2,610.97x = 3,914.52 × 967.21
  4. Step 4: Simplify right side
    2,610.97x = 3,786,162.89
  5. Step 5: Solve for x
    x = 3,786,162.89/2,610.97
  6. Step 6: Final answer
    x = 1,450.10

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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.