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Finding the Fourth Proportional to 3,410.64, 4,705 and 2,012.72

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Solution

The fourth proportional to 3,410.64, 4,705 and 2,012.72 is: 2,776.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.64 : 4,705 = 2,012.72 : x
  2. Step 2: Convert to fraction form
    3,410.64/4,705 = 2,012.72/x
  3. Step 3: Cross multiply
    3,410.64x = 4,705 × 2,012.72
  4. Step 4: Simplify right side
    3,410.64x = 9,469,847.60
  5. Step 5: Solve for x
    x = 9,469,847.60/3,410.64
  6. Step 6: Final answer
    x = 2,776.56

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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.