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Finding the Fourth Proportional to 2,162.87, 3,235.88 and 1,644.37

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Solution

The fourth proportional to 2,162.87, 3,235.88 and 1,644.37 is: 2,460.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.87 : 3,235.88 = 1,644.37 : x
  2. Step 2: Convert to fraction form
    2,162.87/3,235.88 = 1,644.37/x
  3. Step 3: Cross multiply
    2,162.87x = 3,235.88 × 1,644.37
  4. Step 4: Simplify right side
    2,162.87x = 5,320,998.22
  5. Step 5: Solve for x
    x = 5,320,998.22/2,162.87
  6. Step 6: Final answer
    x = 2,460.15

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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.