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Finding the Fourth Proportional to 2,180.93, 3,270.51 and 793.94

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Solution

The fourth proportional to 2,180.93, 3,270.51 and 793.94 is: 1,190.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.93 : 3,270.51 = 793.94 : x
  2. Step 2: Convert to fraction form
    2,180.93/3,270.51 = 793.94/x
  3. Step 3: Cross multiply
    2,180.93x = 3,270.51 × 793.94
  4. Step 4: Simplify right side
    2,180.93x = 2,596,572.36
  5. Step 5: Solve for x
    x = 2,596,572.36/2,180.93
  6. Step 6: Final answer
    x = 1,190.58

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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.