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Finding the Fourth Proportional to 2,796.64, 4,191.71 and 2,472.64

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Solution

The fourth proportional to 2,796.64, 4,191.71 and 2,472.64 is: 3,706.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.64 : 4,191.71 = 2,472.64 : x
  2. Step 2: Convert to fraction form
    2,796.64/4,191.71 = 2,472.64/x
  3. Step 3: Cross multiply
    2,796.64x = 4,191.71 × 2,472.64
  4. Step 4: Simplify right side
    2,796.64x = 10,364,589.81
  5. Step 5: Solve for x
    x = 10,364,589.81/2,796.64
  6. Step 6: Final answer
    x = 3,706.09

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Why These Related Problems?

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