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Finding the Fourth Proportional to 2,192.68, 3,287.10 and 1,037.56

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Solution

The fourth proportional to 2,192.68, 3,287.10 and 1,037.56 is: 1,555.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192.68 : 3,287.10 = 1,037.56 : x
  2. Step 2: Convert to fraction form
    2,192.68/3,287.10 = 1,037.56/x
  3. Step 3: Cross multiply
    2,192.68x = 3,287.10 × 1,037.56
  4. Step 4: Simplify right side
    2,192.68x = 3,410,563.48
  5. Step 5: Solve for x
    x = 3,410,563.48/2,192.68
  6. Step 6: Final answer
    x = 1,555.43

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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.