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Finding the Fourth Proportional to 3,162.62, 4,744.56 and 1,214.68

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Solution

The fourth proportional to 3,162.62, 4,744.56 and 1,214.68 is: 1,822.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.62 : 4,744.56 = 1,214.68 : x
  2. Step 2: Convert to fraction form
    3,162.62/4,744.56 = 1,214.68/x
  3. Step 3: Cross multiply
    3,162.62x = 4,744.56 × 1,214.68
  4. Step 4: Simplify right side
    3,162.62x = 5,763,122.14
  5. Step 5: Solve for x
    x = 5,763,122.14/3,162.62
  6. Step 6: Final answer
    x = 1,822.26

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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.