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Finding the Fourth Proportional to 3,401.76, 4,694.40 and 2,004.56

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Solution

The fourth proportional to 3,401.76, 4,694.40 and 2,004.56 is: 2,766.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401.76 : 4,694.40 = 2,004.56 : x
  2. Step 2: Convert to fraction form
    3,401.76/4,694.40 = 2,004.56/x
  3. Step 3: Cross multiply
    3,401.76x = 4,694.40 × 2,004.56
  4. Step 4: Simplify right side
    3,401.76x = 9,410,206.46
  5. Step 5: Solve for x
    x = 9,410,206.46/3,401.76
  6. Step 6: Final answer
    x = 2,766.28

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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.