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Finding the Fourth Proportional to 2,662.38, 3,967.61 and 2,582.21

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Solution

The fourth proportional to 2,662.38, 3,967.61 and 2,582.21 is: 3,848.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.38 : 3,967.61 = 2,582.21 : x
  2. Step 2: Convert to fraction form
    2,662.38/3,967.61 = 2,582.21/x
  3. Step 3: Cross multiply
    2,662.38x = 3,967.61 × 2,582.21
  4. Step 4: Simplify right side
    2,662.38x = 10,245,217.38
  5. Step 5: Solve for x
    x = 10,245,217.38/2,662.38
  6. Step 6: Final answer
    x = 3,848.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.