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Finding the Fourth Proportional to 2,558.39, 3,837.24 and 914.73

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Solution

The fourth proportional to 2,558.39, 3,837.24 and 914.73 is: 1,371.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.39 : 3,837.24 = 914.73 : x
  2. Step 2: Convert to fraction form
    2,558.39/3,837.24 = 914.73/x
  3. Step 3: Cross multiply
    2,558.39x = 3,837.24 × 914.73
  4. Step 4: Simplify right side
    2,558.39x = 3,510,038.55
  5. Step 5: Solve for x
    x = 3,510,038.55/2,558.39
  6. Step 6: Final answer
    x = 1,371.97

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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.