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Finding the Fourth Proportional to 2,109, 3,162.57 and 1,622.38

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Solution

The fourth proportional to 2,109, 3,162.57 and 1,622.38 is: 2,432.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109 : 3,162.57 = 1,622.38 : x
  2. Step 2: Convert to fraction form
    2,109/3,162.57 = 1,622.38/x
  3. Step 3: Cross multiply
    2,109x = 3,162.57 × 1,622.38
  4. Step 4: Simplify right side
    2,109x = 5,130,890.32
  5. Step 5: Solve for x
    x = 5,130,890.32/2,109
  6. Step 6: Final answer
    x = 2,432.85

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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.