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Finding the Fourth Proportional to 2,034.27, 2,808.72 and 1,796.40

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Solution

The fourth proportional to 2,034.27, 2,808.72 and 1,796.40 is: 2,480.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.27 : 2,808.72 = 1,796.40 : x
  2. Step 2: Convert to fraction form
    2,034.27/2,808.72 = 1,796.40/x
  3. Step 3: Cross multiply
    2,034.27x = 2,808.72 × 1,796.40
  4. Step 4: Simplify right side
    2,034.27x = 5,045,584.61
  5. Step 5: Solve for x
    x = 5,045,584.61/2,034.27
  6. Step 6: Final answer
    x = 2,480.29

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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.