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Finding the Fourth Proportional to 2,890.92, 3,989.42 and 1,632.12

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Solution

The fourth proportional to 2,890.92, 3,989.42 and 1,632.12 is: 2,252.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890.92 : 3,989.42 = 1,632.12 : x
  2. Step 2: Convert to fraction form
    2,890.92/3,989.42 = 1,632.12/x
  3. Step 3: Cross multiply
    2,890.92x = 3,989.42 × 1,632.12
  4. Step 4: Simplify right side
    2,890.92x = 6,511,195.17
  5. Step 5: Solve for x
    x = 6,511,195.17/2,890.92
  6. Step 6: Final answer
    x = 2,252.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.