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Finding the Fourth Proportional to 2,120.52, 3,180.92 and 733.99

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Solution

The fourth proportional to 2,120.52, 3,180.92 and 733.99 is: 1,101.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.52 : 3,180.92 = 733.99 : x
  2. Step 2: Convert to fraction form
    2,120.52/3,180.92 = 733.99/x
  3. Step 3: Cross multiply
    2,120.52x = 3,180.92 × 733.99
  4. Step 4: Simplify right side
    2,120.52x = 2,334,763.47
  5. Step 5: Solve for x
    x = 2,334,763.47/2,120.52
  6. Step 6: Final answer
    x = 1,101.03

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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.