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Finding the Fourth Proportional to 2,582.09, 3,872.36 and 733.36

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Solution

The fourth proportional to 2,582.09, 3,872.36 and 733.36 is: 1,099.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.09 : 3,872.36 = 733.36 : x
  2. Step 2: Convert to fraction form
    2,582.09/3,872.36 = 733.36/x
  3. Step 3: Cross multiply
    2,582.09x = 3,872.36 × 733.36
  4. Step 4: Simplify right side
    2,582.09x = 2,839,826.08
  5. Step 5: Solve for x
    x = 2,839,826.08/2,582.09
  6. Step 6: Final answer
    x = 1,099.82

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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.