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Finding the Fourth Proportional to 2,446.06, 3,665.43 and 984.41

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Solution

The fourth proportional to 2,446.06, 3,665.43 and 984.41 is: 1,475.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.06 : 3,665.43 = 984.41 : x
  2. Step 2: Convert to fraction form
    2,446.06/3,665.43 = 984.41/x
  3. Step 3: Cross multiply
    2,446.06x = 3,665.43 × 984.41
  4. Step 4: Simplify right side
    2,446.06x = 3,608,285.95
  5. Step 5: Solve for x
    x = 3,608,285.95/2,446.06
  6. Step 6: Final answer
    x = 1,475.15

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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.