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Finding the Fourth Proportional to 3,150.94, 4,726.39 and 842.44

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Solution

The fourth proportional to 3,150.94, 4,726.39 and 842.44 is: 1,263.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,150.94 : 4,726.39 = 842.44 : x
  2. Step 2: Convert to fraction form
    3,150.94/4,726.39 = 842.44/x
  3. Step 3: Cross multiply
    3,150.94x = 4,726.39 × 842.44
  4. Step 4: Simplify right side
    3,150.94x = 3,981,699.99
  5. Step 5: Solve for x
    x = 3,981,699.99/3,150.94
  6. Step 6: Final answer
    x = 1,263.65

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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.