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Finding the Fourth Proportional to 3,047.81, 4,205.96 and 1,650.56

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Solution

The fourth proportional to 3,047.81, 4,205.96 and 1,650.56 is: 2,277.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.81 : 4,205.96 = 1,650.56 : x
  2. Step 2: Convert to fraction form
    3,047.81/4,205.96 = 1,650.56/x
  3. Step 3: Cross multiply
    3,047.81x = 4,205.96 × 1,650.56
  4. Step 4: Simplify right side
    3,047.81x = 6,942,160.06
  5. Step 5: Solve for x
    x = 6,942,160.06/3,047.81
  6. Step 6: Final answer
    x = 2,277.76

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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.