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Finding the Fourth Proportional to 2,180.99, 3,271.52 and 793.46

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Solution

The fourth proportional to 2,180.99, 3,271.52 and 793.46 is: 1,190.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.99 : 3,271.52 = 793.46 : x
  2. Step 2: Convert to fraction form
    2,180.99/3,271.52 = 793.46/x
  3. Step 3: Cross multiply
    2,180.99x = 3,271.52 × 793.46
  4. Step 4: Simplify right side
    2,180.99x = 2,595,820.26
  5. Step 5: Solve for x
    x = 2,595,820.26/2,180.99
  6. Step 6: Final answer
    x = 1,190.20

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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.