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Finding the Fourth Proportional to 1,454.37, 2,180.54 and 673.94

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Solution

The fourth proportional to 1,454.37, 2,180.54 and 673.94 is: 1,010.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.37 : 2,180.54 = 673.94 : x
  2. Step 2: Convert to fraction form
    1,454.37/2,180.54 = 673.94/x
  3. Step 3: Cross multiply
    1,454.37x = 2,180.54 × 673.94
  4. Step 4: Simplify right side
    1,454.37x = 1,469,538.86
  5. Step 5: Solve for x
    x = 1,469,538.86/1,454.37
  6. Step 6: Final answer
    x = 1,010.43

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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.