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Finding the Fourth Proportional to 1,961.92, 2,707.17 and 1,564.57

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Solution

The fourth proportional to 1,961.92, 2,707.17 and 1,564.57 is: 2,158.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961.92 : 2,707.17 = 1,564.57 : x
  2. Step 2: Convert to fraction form
    1,961.92/2,707.17 = 1,564.57/x
  3. Step 3: Cross multiply
    1,961.92x = 2,707.17 × 1,564.57
  4. Step 4: Simplify right side
    1,961.92x = 4,235,556.97
  5. Step 5: Solve for x
    x = 4,235,556.97/1,961.92
  6. Step 6: Final answer
    x = 2,158.88

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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.