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Finding the Fourth Proportional to 2,960.68, 4,086.23 and 1,765.82

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Solution

The fourth proportional to 2,960.68, 4,086.23 and 1,765.82 is: 2,437.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960.68 : 4,086.23 = 1,765.82 : x
  2. Step 2: Convert to fraction form
    2,960.68/4,086.23 = 1,765.82/x
  3. Step 3: Cross multiply
    2,960.68x = 4,086.23 × 1,765.82
  4. Step 4: Simplify right side
    2,960.68x = 7,215,546.66
  5. Step 5: Solve for x
    x = 7,215,546.66/2,960.68
  6. Step 6: Final answer
    x = 2,437.12

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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.