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Finding the Fourth Proportional to 2,182.92, 3,273.58 and 795.80

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Solution

The fourth proportional to 2,182.92, 3,273.58 and 795.80 is: 1,193.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.92 : 3,273.58 = 795.80 : x
  2. Step 2: Convert to fraction form
    2,182.92/3,273.58 = 795.80/x
  3. Step 3: Cross multiply
    2,182.92x = 3,273.58 × 795.80
  4. Step 4: Simplify right side
    2,182.92x = 2,605,114.96
  5. Step 5: Solve for x
    x = 2,605,114.96/2,182.92
  6. Step 6: Final answer
    x = 1,193.41

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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.