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Finding the Fourth Proportional to 3,274.56, 4,906.72 and 2,056

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Solution

The fourth proportional to 3,274.56, 4,906.72 and 2,056 is: 3,080.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.56 : 4,906.72 = 2,056 : x
  2. Step 2: Convert to fraction form
    3,274.56/4,906.72 = 2,056/x
  3. Step 3: Cross multiply
    3,274.56x = 4,906.72 × 2,056
  4. Step 4: Simplify right side
    3,274.56x = 10,088,216.32
  5. Step 5: Solve for x
    x = 10,088,216.32/3,274.56
  6. Step 6: Final answer
    x = 3,080.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.