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Finding the Fourth Proportional to 3,162.47, 4,744.51 and 1,214.82

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Solution

The fourth proportional to 3,162.47, 4,744.51 and 1,214.82 is: 1,822.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.47 : 4,744.51 = 1,214.82 : x
  2. Step 2: Convert to fraction form
    3,162.47/4,744.51 = 1,214.82/x
  3. Step 3: Cross multiply
    3,162.47x = 4,744.51 × 1,214.82
  4. Step 4: Simplify right side
    3,162.47x = 5,763,722.60
  5. Step 5: Solve for x
    x = 5,763,722.60/3,162.47
  6. Step 6: Final answer
    x = 1,822.54

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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.