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Finding the Fourth Proportional to 2,582.08, 3,873.32 and 733.21

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Solution

The fourth proportional to 2,582.08, 3,873.32 and 733.21 is: 1,099.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.08 : 3,873.32 = 733.21 : x
  2. Step 2: Convert to fraction form
    2,582.08/3,873.32 = 733.21/x
  3. Step 3: Cross multiply
    2,582.08x = 3,873.32 × 733.21
  4. Step 4: Simplify right side
    2,582.08x = 2,839,956.96
  5. Step 5: Solve for x
    x = 2,839,956.96/2,582.08
  6. Step 6: Final answer
    x = 1,099.87

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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.