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Finding the Fourth Proportional to 2,966.66, 4,450.25 and 775.38

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Solution

The fourth proportional to 2,966.66, 4,450.25 and 775.38 is: 1,163.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.66 : 4,450.25 = 775.38 : x
  2. Step 2: Convert to fraction form
    2,966.66/4,450.25 = 775.38/x
  3. Step 3: Cross multiply
    2,966.66x = 4,450.25 × 775.38
  4. Step 4: Simplify right side
    2,966.66x = 3,450,634.85
  5. Step 5: Solve for x
    x = 3,450,634.85/2,966.66
  6. Step 6: Final answer
    x = 1,163.14

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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.