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Finding the Fourth Proportional to 2,462.32, 3,694.12 and 730.96

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Solution

The fourth proportional to 2,462.32, 3,694.12 and 730.96 is: 1,096.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.32 : 3,694.12 = 730.96 : x
  2. Step 2: Convert to fraction form
    2,462.32/3,694.12 = 730.96/x
  3. Step 3: Cross multiply
    2,462.32x = 3,694.12 × 730.96
  4. Step 4: Simplify right side
    2,462.32x = 2,700,253.96
  5. Step 5: Solve for x
    x = 2,700,253.96/2,462.32
  6. Step 6: Final answer
    x = 1,096.63

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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.