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Finding the Fourth Proportional to 2,180.04, 3,270.52 and 793.46

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Solution

The fourth proportional to 2,180.04, 3,270.52 and 793.46 is: 1,190.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.04 : 3,270.52 = 793.46 : x
  2. Step 2: Convert to fraction form
    2,180.04/3,270.52 = 793.46/x
  3. Step 3: Cross multiply
    2,180.04x = 3,270.52 × 793.46
  4. Step 4: Simplify right side
    2,180.04x = 2,595,026.80
  5. Step 5: Solve for x
    x = 2,595,026.80/2,180.04
  6. Step 6: Final answer
    x = 1,190.36

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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.