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Finding the Fourth Proportional to 2,147.60, 3,237.97 and 2,134.28

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Solution

The fourth proportional to 2,147.60, 3,237.97 and 2,134.28 is: 3,217.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.60 : 3,237.97 = 2,134.28 : x
  2. Step 2: Convert to fraction form
    2,147.60/3,237.97 = 2,134.28/x
  3. Step 3: Cross multiply
    2,147.60x = 3,237.97 × 2,134.28
  4. Step 4: Simplify right side
    2,147.60x = 6,910,707.75
  5. Step 5: Solve for x
    x = 6,910,707.75/2,147.60
  6. Step 6: Final answer
    x = 3,217.87

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.