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Finding the Fourth Proportional to 2,120.54, 3,181.62 and 1,024.82

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Solution

The fourth proportional to 2,120.54, 3,181.62 and 1,024.82 is: 1,537.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.54 : 3,181.62 = 1,024.82 : x
  2. Step 2: Convert to fraction form
    2,120.54/3,181.62 = 1,024.82/x
  3. Step 3: Cross multiply
    2,120.54x = 3,181.62 × 1,024.82
  4. Step 4: Simplify right side
    2,120.54x = 3,260,571.90
  5. Step 5: Solve for x
    x = 3,260,571.90/2,120.54
  6. Step 6: Final answer
    x = 1,537.62

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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.