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Finding the Fourth Proportional to 1,766.73, 2,651.46 and 945.69

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Solution

The fourth proportional to 1,766.73, 2,651.46 and 945.69 is: 1,419.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.73 : 2,651.46 = 945.69 : x
  2. Step 2: Convert to fraction form
    1,766.73/2,651.46 = 945.69/x
  3. Step 3: Cross multiply
    1,766.73x = 2,651.46 × 945.69
  4. Step 4: Simplify right side
    1,766.73x = 2,507,459.21
  5. Step 5: Solve for x
    x = 2,507,459.21/1,766.73
  6. Step 6: Final answer
    x = 1,419.27

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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.