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Finding the Fourth Proportional to 1,720.16, 2,580.68 and 796.38

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Solution

The fourth proportional to 1,720.16, 2,580.68 and 796.38 is: 1,194.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,720.16 : 2,580.68 = 796.38 : x
  2. Step 2: Convert to fraction form
    1,720.16/2,580.68 = 796.38/x
  3. Step 3: Cross multiply
    1,720.16x = 2,580.68 × 796.38
  4. Step 4: Simplify right side
    1,720.16x = 2,055,201.94
  5. Step 5: Solve for x
    x = 2,055,201.94/1,720.16
  6. Step 6: Final answer
    x = 1,194.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.