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Finding the Fourth Proportional to 2,489.83, 3,733.94 and 846.34

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Solution

The fourth proportional to 2,489.83, 3,733.94 and 846.34 is: 1,269.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.83 : 3,733.94 = 846.34 : x
  2. Step 2: Convert to fraction form
    2,489.83/3,733.94 = 846.34/x
  3. Step 3: Cross multiply
    2,489.83x = 3,733.94 × 846.34
  4. Step 4: Simplify right side
    2,489.83x = 3,160,178.55
  5. Step 5: Solve for x
    x = 3,160,178.55/2,489.83
  6. Step 6: Final answer
    x = 1,269.23

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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.