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Finding the Fourth Proportional to 2,120.79, 3,180.41 and 733.71

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Solution

The fourth proportional to 2,120.79, 3,180.41 and 733.71 is: 1,100.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.79 : 3,180.41 = 733.71 : x
  2. Step 2: Convert to fraction form
    2,120.79/3,180.41 = 733.71/x
  3. Step 3: Cross multiply
    2,120.79x = 3,180.41 × 733.71
  4. Step 4: Simplify right side
    2,120.79x = 2,333,498.62
  5. Step 5: Solve for x
    x = 2,333,498.62/2,120.79
  6. Step 6: Final answer
    x = 1,100.30

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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.