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Finding the Fourth Proportional to 1,634.96, 2,447.58 and 1,358.54

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Solution

The fourth proportional to 1,634.96, 2,447.58 and 1,358.54 is: 2,033.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.96 : 2,447.58 = 1,358.54 : x
  2. Step 2: Convert to fraction form
    1,634.96/2,447.58 = 1,358.54/x
  3. Step 3: Cross multiply
    1,634.96x = 2,447.58 × 1,358.54
  4. Step 4: Simplify right side
    1,634.96x = 3,325,135.33
  5. Step 5: Solve for x
    x = 3,325,135.33/1,634.96
  6. Step 6: Final answer
    x = 2,033.77

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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.