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Finding the Fourth Proportional to 3,123.81, 4,311.24 and 1,797.49

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Solution

The fourth proportional to 3,123.81, 4,311.24 and 1,797.49 is: 2,480.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.81 : 4,311.24 = 1,797.49 : x
  2. Step 2: Convert to fraction form
    3,123.81/4,311.24 = 1,797.49/x
  3. Step 3: Cross multiply
    3,123.81x = 4,311.24 × 1,797.49
  4. Step 4: Simplify right side
    3,123.81x = 7,749,410.79
  5. Step 5: Solve for x
    x = 7,749,410.79/3,123.81
  6. Step 6: Final answer
    x = 2,480.76

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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.