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Finding the Fourth Proportional to 1,965.11, 2,712.66 and 1,179

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Solution

The fourth proportional to 1,965.11, 2,712.66 and 1,179 is: 1,627.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.11 : 2,712.66 = 1,179 : x
  2. Step 2: Convert to fraction form
    1,965.11/2,712.66 = 1,179/x
  3. Step 3: Cross multiply
    1,965.11x = 2,712.66 × 1,179
  4. Step 4: Simplify right side
    1,965.11x = 3,198,221.72
  5. Step 5: Solve for x
    x = 3,198,221.72/1,965.11
  6. Step 6: Final answer
    x = 1,627.51

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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.