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Finding the Fourth Proportional to 1,945.43, 2,917.94 and 775.59

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Solution

The fourth proportional to 1,945.43, 2,917.94 and 775.59 is: 1,163.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.43 : 2,917.94 = 775.59 : x
  2. Step 2: Convert to fraction form
    1,945.43/2,917.94 = 775.59/x
  3. Step 3: Cross multiply
    1,945.43x = 2,917.94 × 775.59
  4. Step 4: Simplify right side
    1,945.43x = 2,263,127.02
  5. Step 5: Solve for x
    x = 2,263,127.02/1,945.43
  6. Step 6: Final answer
    x = 1,163.30

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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.