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Finding the Fourth Proportional to 1,977.13, 2,728.48 and 1,279.72

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Solution

The fourth proportional to 1,977.13, 2,728.48 and 1,279.72 is: 1,766.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.13 : 2,728.48 = 1,279.72 : x
  2. Step 2: Convert to fraction form
    1,977.13/2,728.48 = 1,279.72/x
  3. Step 3: Cross multiply
    1,977.13x = 2,728.48 × 1,279.72
  4. Step 4: Simplify right side
    1,977.13x = 3,491,676.78
  5. Step 5: Solve for x
    x = 3,491,676.78/1,977.13
  6. Step 6: Final answer
    x = 1,766.04

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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.