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Finding the Fourth Proportional to 2,768.52, 4,121.89 and 2,729.74

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Solution

The fourth proportional to 2,768.52, 4,121.89 and 2,729.74 is: 4,064.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.52 : 4,121.89 = 2,729.74 : x
  2. Step 2: Convert to fraction form
    2,768.52/4,121.89 = 2,729.74/x
  3. Step 3: Cross multiply
    2,768.52x = 4,121.89 × 2,729.74
  4. Step 4: Simplify right side
    2,768.52x = 11,251,676.61
  5. Step 5: Solve for x
    x = 11,251,676.61/2,768.52
  6. Step 6: Final answer
    x = 4,064.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.