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Finding the Fourth Proportional to 2,634.63, 3,951.44 and 1,228.66

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Solution

The fourth proportional to 2,634.63, 3,951.44 and 1,228.66 is: 1,842.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,634.63 : 3,951.44 = 1,228.66 : x
  2. Step 2: Convert to fraction form
    2,634.63/3,951.44 = 1,228.66/x
  3. Step 3: Cross multiply
    2,634.63x = 3,951.44 × 1,228.66
  4. Step 4: Simplify right side
    2,634.63x = 4,854,992.27
  5. Step 5: Solve for x
    x = 4,854,992.27/2,634.63
  6. Step 6: Final answer
    x = 1,842.76

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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.