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Finding the Fourth Proportional to 1,945.38, 2,917.93 and 484.53

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Solution

The fourth proportional to 1,945.38, 2,917.93 and 484.53 is: 726.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.38 : 2,917.93 = 484.53 : x
  2. Step 2: Convert to fraction form
    1,945.38/2,917.93 = 484.53/x
  3. Step 3: Cross multiply
    1,945.38x = 2,917.93 × 484.53
  4. Step 4: Simplify right side
    1,945.38x = 1,413,824.62
  5. Step 5: Solve for x
    x = 1,413,824.62/1,945.38
  6. Step 6: Final answer
    x = 726.76

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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.