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Finding the Fourth Proportional to 1,945.86, 2,917.38 and 629.14

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Solution

The fourth proportional to 1,945.86, 2,917.38 and 629.14 is: 943.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.86 : 2,917.38 = 629.14 : x
  2. Step 2: Convert to fraction form
    1,945.86/2,917.38 = 629.14/x
  3. Step 3: Cross multiply
    1,945.86x = 2,917.38 × 629.14
  4. Step 4: Simplify right side
    1,945.86x = 1,835,440.45
  5. Step 5: Solve for x
    x = 1,835,440.45/1,945.86
  6. Step 6: Final answer
    x = 943.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.