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Finding the Fourth Proportional to 2,183.80, 3,292.03 and 2,164.36

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Solution

The fourth proportional to 2,183.80, 3,292.03 and 2,164.36 is: 3,262.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.80 : 3,292.03 = 2,164.36 : x
  2. Step 2: Convert to fraction form
    2,183.80/3,292.03 = 2,164.36/x
  3. Step 3: Cross multiply
    2,183.80x = 3,292.03 × 2,164.36
  4. Step 4: Simplify right side
    2,183.80x = 7,125,138.05
  5. Step 5: Solve for x
    x = 7,125,138.05/2,183.80
  6. Step 6: Final answer
    x = 3,262.72

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.