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Finding the Fourth Proportional to 1,945.24, 2,917.84 and 484.41

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Solution

The fourth proportional to 1,945.24, 2,917.84 and 484.41 is: 726.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.24 : 2,917.84 = 484.41 : x
  2. Step 2: Convert to fraction form
    1,945.24/2,917.84 = 484.41/x
  3. Step 3: Cross multiply
    1,945.24x = 2,917.84 × 484.41
  4. Step 4: Simplify right side
    1,945.24x = 1,413,425.10
  5. Step 5: Solve for x
    x = 1,413,425.10/1,945.24
  6. Step 6: Final answer
    x = 726.61

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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.