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Finding the Fourth Proportional to 4,231.64, 6,344.02 and 1,768.30

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Solution

The fourth proportional to 4,231.64, 6,344.02 and 1,768.30 is: 2,651.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,231.64 : 6,344.02 = 1,768.30 : x
  2. Step 2: Convert to fraction form
    4,231.64/6,344.02 = 1,768.30/x
  3. Step 3: Cross multiply
    4,231.64x = 6,344.02 × 1,768.30
  4. Step 4: Simplify right side
    4,231.64x = 11,218,116.92
  5. Step 5: Solve for x
    x = 11,218,116.92/4,231.64
  6. Step 6: Final answer
    x = 2,651.01

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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.