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Finding the Fourth Proportional to 1,977.51, 2,729.78 and 1,191.94

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Solution

The fourth proportional to 1,977.51, 2,729.78 and 1,191.94 is: 1,645.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.51 : 2,729.78 = 1,191.94 : x
  2. Step 2: Convert to fraction form
    1,977.51/2,729.78 = 1,191.94/x
  3. Step 3: Cross multiply
    1,977.51x = 2,729.78 × 1,191.94
  4. Step 4: Simplify right side
    1,977.51x = 3,253,733.97
  5. Step 5: Solve for x
    x = 3,253,733.97/1,977.51
  6. Step 6: Final answer
    x = 1,645.37

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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.