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Finding the Fourth Proportional to 2,147.44, 3,221.62 and 848.92

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Solution

The fourth proportional to 2,147.44, 3,221.62 and 848.92 is: 1,273.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.44 : 3,221.62 = 848.92 : x
  2. Step 2: Convert to fraction form
    2,147.44/3,221.62 = 848.92/x
  3. Step 3: Cross multiply
    2,147.44x = 3,221.62 × 848.92
  4. Step 4: Simplify right side
    2,147.44x = 2,734,897.65
  5. Step 5: Solve for x
    x = 2,734,897.65/2,147.44
  6. Step 6: Final answer
    x = 1,273.56

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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.