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Finding the Fourth Proportional to 2,147.41, 3,217.87 and 848.17

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Solution

The fourth proportional to 2,147.41, 3,217.87 and 848.17 is: 1,270.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.41 : 3,217.87 = 848.17 : x
  2. Step 2: Convert to fraction form
    2,147.41/3,217.87 = 848.17/x
  3. Step 3: Cross multiply
    2,147.41x = 3,217.87 × 848.17
  4. Step 4: Simplify right side
    2,147.41x = 2,729,300.80
  5. Step 5: Solve for x
    x = 2,729,300.80/2,147.41
  6. Step 6: Final answer
    x = 1,270.97

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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.