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Finding the Fourth Proportional to 2,180.07, 3,270.38 and 718.83

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Solution

The fourth proportional to 2,180.07, 3,270.38 and 718.83 is: 1,078.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.07 : 3,270.38 = 718.83 : x
  2. Step 2: Convert to fraction form
    2,180.07/3,270.38 = 718.83/x
  3. Step 3: Cross multiply
    2,180.07x = 3,270.38 × 718.83
  4. Step 4: Simplify right side
    2,180.07x = 2,350,843.66
  5. Step 5: Solve for x
    x = 2,350,843.66/2,180.07
  6. Step 6: Final answer
    x = 1,078.33

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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.