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Finding the Fourth Proportional to 2,582.31, 3,873.45 and 733.44

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Solution

The fourth proportional to 2,582.31, 3,873.45 and 733.44 is: 1,100.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.31 : 3,873.45 = 733.44 : x
  2. Step 2: Convert to fraction form
    2,582.31/3,873.45 = 733.44/x
  3. Step 3: Cross multiply
    2,582.31x = 3,873.45 × 733.44
  4. Step 4: Simplify right side
    2,582.31x = 2,840,923.80
  5. Step 5: Solve for x
    x = 2,840,923.80/2,582.31
  6. Step 6: Final answer
    x = 1,100.15

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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.