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Finding the Fourth Proportional to 2,797.37, 3,861.17 and 1,865.87

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Solution

The fourth proportional to 2,797.37, 3,861.17 and 1,865.87 is: 2,575.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.37 : 3,861.17 = 1,865.87 : x
  2. Step 2: Convert to fraction form
    2,797.37/3,861.17 = 1,865.87/x
  3. Step 3: Cross multiply
    2,797.37x = 3,861.17 × 1,865.87
  4. Step 4: Simplify right side
    2,797.37x = 7,204,426.63
  5. Step 5: Solve for x
    x = 7,204,426.63/2,797.37
  6. Step 6: Final answer
    x = 2,575.43

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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.