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Finding the Fourth Proportional to 2,489.58, 3,733.56 and 846.09

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Solution

The fourth proportional to 2,489.58, 3,733.56 and 846.09 is: 1,268.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.58 : 3,733.56 = 846.09 : x
  2. Step 2: Convert to fraction form
    2,489.58/3,733.56 = 846.09/x
  3. Step 3: Cross multiply
    2,489.58x = 3,733.56 × 846.09
  4. Step 4: Simplify right side
    2,489.58x = 3,158,927.78
  5. Step 5: Solve for x
    x = 3,158,927.78/2,489.58
  6. Step 6: Final answer
    x = 1,268.86

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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.