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Finding the Fourth Proportional to 2,143.98, 3,217.23 and 845.82

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Solution

The fourth proportional to 2,143.98, 3,217.23 and 845.82 is: 1,269.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.98 : 3,217.23 = 845.82 : x
  2. Step 2: Convert to fraction form
    2,143.98/3,217.23 = 845.82/x
  3. Step 3: Cross multiply
    2,143.98x = 3,217.23 × 845.82
  4. Step 4: Simplify right side
    2,143.98x = 2,721,197.48
  5. Step 5: Solve for x
    x = 2,721,197.48/2,143.98
  6. Step 6: Final answer
    x = 1,269.23

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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.