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Finding the Fourth Proportional to 2,107.06, 3,160.97 and 720.55

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Solution

The fourth proportional to 2,107.06, 3,160.97 and 720.55 is: 1,080.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.06 : 3,160.97 = 720.55 : x
  2. Step 2: Convert to fraction form
    2,107.06/3,160.97 = 720.55/x
  3. Step 3: Cross multiply
    2,107.06x = 3,160.97 × 720.55
  4. Step 4: Simplify right side
    2,107.06x = 2,277,633.33
  5. Step 5: Solve for x
    x = 2,277,633.33/2,107.06
  6. Step 6: Final answer
    x = 1,080.95

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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.