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Finding the Fourth Proportional to 2,321.87, 3,200.92 and 1,966.37

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Solution

The fourth proportional to 2,321.87, 3,200.92 and 1,966.37 is: 2,710.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.87 : 3,200.92 = 1,966.37 : x
  2. Step 2: Convert to fraction form
    2,321.87/3,200.92 = 1,966.37/x
  3. Step 3: Cross multiply
    2,321.87x = 3,200.92 × 1,966.37
  4. Step 4: Simplify right side
    2,321.87x = 6,294,172.14
  5. Step 5: Solve for x
    x = 6,294,172.14/2,321.87
  6. Step 6: Final answer
    x = 2,710.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.