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Finding the Fourth Proportional to 1,673, 2,512.36 and 1,027.52

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Solution

The fourth proportional to 1,673, 2,512.36 and 1,027.52 is: 1,543.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673 : 2,512.36 = 1,027.52 : x
  2. Step 2: Convert to fraction form
    1,673/2,512.36 = 1,027.52/x
  3. Step 3: Cross multiply
    1,673x = 2,512.36 × 1,027.52
  4. Step 4: Simplify right side
    1,673x = 2,581,500.15
  5. Step 5: Solve for x
    x = 2,581,500.15/1,673
  6. Step 6: Final answer
    x = 1,543.04

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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.