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Finding the Fourth Proportional to 1,454.92, 2,180.57 and 673.86

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Solution

The fourth proportional to 1,454.92, 2,180.57 and 673.86 is: 1,009.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.92 : 2,180.57 = 673.86 : x
  2. Step 2: Convert to fraction form
    1,454.92/2,180.57 = 673.86/x
  3. Step 3: Cross multiply
    1,454.92x = 2,180.57 × 673.86
  4. Step 4: Simplify right side
    1,454.92x = 1,469,388.00
  5. Step 5: Solve for x
    x = 1,469,388.00/1,454.92
  6. Step 6: Final answer
    x = 1,009.95

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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.