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Finding the Fourth Proportional to 3,274.77, 4,908.96 and 2,165.01

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Solution

The fourth proportional to 3,274.77, 4,908.96 and 2,165.01 is: 3,245.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.77 : 4,908.96 = 2,165.01 : x
  2. Step 2: Convert to fraction form
    3,274.77/4,908.96 = 2,165.01/x
  3. Step 3: Cross multiply
    3,274.77x = 4,908.96 × 2,165.01
  4. Step 4: Simplify right side
    3,274.77x = 10,627,947.49
  5. Step 5: Solve for x
    x = 10,627,947.49/3,274.77
  6. Step 6: Final answer
    x = 3,245.40

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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.