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Finding the Fourth Proportional to 2,814.72, 3,883.80 and 1,768.20

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Solution

The fourth proportional to 2,814.72, 3,883.80 and 1,768.20 is: 2,439.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.72 : 3,883.80 = 1,768.20 : x
  2. Step 2: Convert to fraction form
    2,814.72/3,883.80 = 1,768.20/x
  3. Step 3: Cross multiply
    2,814.72x = 3,883.80 × 1,768.20
  4. Step 4: Simplify right side
    2,814.72x = 6,867,335.16
  5. Step 5: Solve for x
    x = 6,867,335.16/2,814.72
  6. Step 6: Final answer
    x = 2,439.79

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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.