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Finding the Fourth Proportional to 2,138.92, 2,951.46 and 1,194.60

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Solution

The fourth proportional to 2,138.92, 2,951.46 and 1,194.60 is: 1,648.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.92 : 2,951.46 = 1,194.60 : x
  2. Step 2: Convert to fraction form
    2,138.92/2,951.46 = 1,194.60/x
  3. Step 3: Cross multiply
    2,138.92x = 2,951.46 × 1,194.60
  4. Step 4: Simplify right side
    2,138.92x = 3,525,814.12
  5. Step 5: Solve for x
    x = 3,525,814.12/2,138.92
  6. Step 6: Final answer
    x = 1,648.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.