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Finding the Fourth Proportional to 3,040.43, 4,193.17 and 1,977.81

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Solution

The fourth proportional to 3,040.43, 4,193.17 and 1,977.81 is: 2,727.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,040.43 : 4,193.17 = 1,977.81 : x
  2. Step 2: Convert to fraction form
    3,040.43/4,193.17 = 1,977.81/x
  3. Step 3: Cross multiply
    3,040.43x = 4,193.17 × 1,977.81
  4. Step 4: Simplify right side
    3,040.43x = 8,293,288.61
  5. Step 5: Solve for x
    x = 8,293,288.61/3,040.43
  6. Step 6: Final answer
    x = 2,727.67

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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.