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Finding the Fourth Proportional to 2,489.34, 3,734.10 and 845.94

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Solution

The fourth proportional to 2,489.34, 3,734.10 and 845.94 is: 1,268.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.34 : 3,734.10 = 845.94 : x
  2. Step 2: Convert to fraction form
    2,489.34/3,734.10 = 845.94/x
  3. Step 3: Cross multiply
    2,489.34x = 3,734.10 × 845.94
  4. Step 4: Simplify right side
    2,489.34x = 3,158,824.55
  5. Step 5: Solve for x
    x = 3,158,824.55/2,489.34
  6. Step 6: Final answer
    x = 1,268.94

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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.