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Finding the Fourth Proportional to 4,121.66, 6,180.46 and 1,347.82

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Solution

The fourth proportional to 4,121.66, 6,180.46 and 1,347.82 is: 2,021.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,121.66 : 6,180.46 = 1,347.82 : x
  2. Step 2: Convert to fraction form
    4,121.66/6,180.46 = 1,347.82/x
  3. Step 3: Cross multiply
    4,121.66x = 6,180.46 × 1,347.82
  4. Step 4: Simplify right side
    4,121.66x = 8,330,147.60
  5. Step 5: Solve for x
    x = 8,330,147.60/4,121.66
  6. Step 6: Final answer
    x = 2,021.07

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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.