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Finding the Fourth Proportional to 2,166.47, 3,247.33 and 849.83

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Solution

The fourth proportional to 2,166.47, 3,247.33 and 849.83 is: 1,273.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.47 : 3,247.33 = 849.83 : x
  2. Step 2: Convert to fraction form
    2,166.47/3,247.33 = 849.83/x
  3. Step 3: Cross multiply
    2,166.47x = 3,247.33 × 849.83
  4. Step 4: Simplify right side
    2,166.47x = 2,759,673.86
  5. Step 5: Solve for x
    x = 2,759,673.86/2,166.47
  6. Step 6: Final answer
    x = 1,273.81

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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.