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Finding the Fourth Proportional to 2,180.31, 3,271.85 and 793.51

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Solution

The fourth proportional to 2,180.31, 3,271.85 and 793.51 is: 1,190.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.31 : 3,271.85 = 793.51 : x
  2. Step 2: Convert to fraction form
    2,180.31/3,271.85 = 793.51/x
  3. Step 3: Cross multiply
    2,180.31x = 3,271.85 × 793.51
  4. Step 4: Simplify right side
    2,180.31x = 2,596,233.55
  5. Step 5: Solve for x
    x = 2,596,233.55/2,180.31
  6. Step 6: Final answer
    x = 1,190.77

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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.