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Finding the Fourth Proportional to 2,753.24, 3,796.61 and 2,123.87

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Solution

The fourth proportional to 2,753.24, 3,796.61 and 2,123.87 is: 2,928.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.24 : 3,796.61 = 2,123.87 : x
  2. Step 2: Convert to fraction form
    2,753.24/3,796.61 = 2,123.87/x
  3. Step 3: Cross multiply
    2,753.24x = 3,796.61 × 2,123.87
  4. Step 4: Simplify right side
    2,753.24x = 8,063,476.48
  5. Step 5: Solve for x
    x = 8,063,476.48/2,753.24
  6. Step 6: Final answer
    x = 2,928.73

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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.